What is the Greatest Common Factor of 74720 and 74725?

Greatest common factor (GCF) of 74720 and 74725 is 5.

GCF(74720,74725) = 5

We will now calculate the prime factors of 74720 and 74725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74720 and 74725.

How to find the GCF of 74720 and 74725?

We will first find the prime factorization of 74720 and 74725. After we will calculate the factors of 74720 and 74725 and find the biggest common factor number .

Step-1: Prime Factorization of 74720

Prime factors of 74720 are 2, 5, 467. Prime factorization of 74720 in exponential form is:

74720 = 2⁵ × 5¹ × 467¹

Step-2: Prime Factorization of 74725

Prime factors of 74725 are 5, 7, 61. Prime factorization of 74725 in exponential form is:

74725 = 5² × 7² × 61¹

Step-3: Factors of 74720

List of positive integer factors of 74720 that divides 74720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 467, 934, 1868, 2335, 3736, 4670, 7472, 9340, 14944, 18680, 37360

Step-4: Factors of 74725

List of positive integer factors of 74725 that divides 74720 without a remainder.

1, 5, 7, 25, 35, 49, 61, 175, 245, 305, 427, 1225, 1525, 2135, 2989, 10675, 14945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74720 and 74725. The biggest common factor number is the GCF number.
So the greatest common factor 74720 and 74725 is 5.

Also check out the Least Common Multiple of 74720 and 74725