What is the Greatest Common Factor of 74928 and 74943?

Greatest common factor (GCF) of 74928 and 74943 is 3.

GCF(74928,74943) = 3

We will now calculate the prime factors of 74928 and 74943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74928 and 74943.

How to find the GCF of 74928 and 74943?

We will first find the prime factorization of 74928 and 74943. After we will calculate the factors of 74928 and 74943 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 74943

Prime factors of 74943 are 3, 11, 757. Prime factorization of 74943 in exponential form is:

74943 = 3² × 11¹ × 757¹

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 74943

List of positive integer factors of 74943 that divides 74928 without a remainder.

1, 3, 9, 11, 33, 99, 757, 2271, 6813, 8327, 24981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74928 and 74943. The biggest common factor number is the GCF number.
So the greatest common factor 74928 and 74943 is 3.

Also check out the Least Common Multiple of 74928 and 74943