What is the Greatest Common Factor of 74919 and 74928?

Greatest common factor (GCF) of 74919 and 74928 is 3.

GCF(74919,74928) = 3

We will now calculate the prime factors of 74919 and 74928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74919 and 74928.

How to find the GCF of 74919 and 74928?

We will first find the prime factorization of 74919 and 74928. After we will calculate the factors of 74919 and 74928 and find the biggest common factor number .

Step-1: Prime Factorization of 74919

Prime factors of 74919 are 3, 13, 17, 113. Prime factorization of 74919 in exponential form is:

74919 = 3¹ × 13¹ × 17¹ × 113¹

Step-2: 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-3: Factors of 74919

List of positive integer factors of 74919 that divides 74919 without a remainder.

1, 3, 13, 17, 39, 51, 113, 221, 339, 663, 1469, 1921, 4407, 5763, 24973

Step-4: Factors of 74928

List of positive integer factors of 74928 that divides 74919 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74919 and 74928. The biggest common factor number is the GCF number.
So the greatest common factor 74919 and 74928 is 3.

Also check out the Least Common Multiple of 74919 and 74928