What is the Greatest Common Factor of 74928 and 74935?

Greatest common factor (GCF) of 74928 and 74935 is 7.

GCF(74928,74935) = 7

We will now calculate the prime factors of 74928 and 74935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74928 and 74935.

How to find the GCF of 74928 and 74935?

We will first find the prime factorization of 74928 and 74935. After we will calculate the factors of 74928 and 74935 and find the biggest common factor number .

Step-1: Prime Factorization of 74928

Prime factors of 74928 are 2, 3, 7, 223. Prime factorization of 74928 in exponential form is:

74928 = 2⁴ × 3¹ × 7¹ × 223¹

Step-2: Prime Factorization of 74935

Prime factors of 74935 are 5, 7, 2141. Prime factorization of 74935 in exponential form is:

74935 = 5¹ × 7¹ × 2141¹

Step-3: Factors of 74928

List of positive integer factors of 74928 that divides 74928 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 223, 336, 446, 669, 892, 1338, 1561, 1784, 2676, 3122, 3568, 4683, 5352, 6244, 9366, 10704, 12488, 18732, 24976, 37464

Step-4: Factors of 74935

List of positive integer factors of 74935 that divides 74928 without a remainder.

1, 5, 7, 35, 2141, 10705, 14987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74928 and 74935. The biggest common factor number is the GCF number.
So the greatest common factor 74928 and 74935 is 7.

Also check out the Least Common Multiple of 74928 and 74935