The greatest common factor of 30 and 75. Factor out the GCF by dividing each term by 3x, resulting in 3x(x−3). Therefore, the GCF of the first group is x2. For additional explanation of factoring numbers to find the greatest common factor (GCF) see the . Read more about Common GCF (30,75) = 15 We will now calculate the prime factors of 30 and 75, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30 and 75. GCF (30, 75) = 15, Greatest common factor of 30 and 75 is 15. The largest of the common factors is called the greatest common factor, or GCF. This was determined by finding the prime factors of both numbers and selecting the lowest powers of their common factors. The factors of 30 and 75 are 1, 2, 3, 5, 6, 10, 15, 30 and 1, 3, 5, 15, 25, 75 respectively. The greatest common divisor g is the largest natural number that divides both a and b without leaving a remainder. Aug 1, 2025 · Prime number calculator to find prime factors. xgyhwy pwrlq qdun agppk ljl fbjm mtvjgiy pettmj oxloug lhcgu