What is the Greatest Common Factor of 74924 and 74940?

Greatest common factor (GCF) of 74924 and 74940 is 4.

GCF(74924,74940) = 4

We will now calculate the prime factors of 74924 and 74940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74924 and 74940.

How to find the GCF of 74924 and 74940?

We will first find the prime factorization of 74924 and 74940. After we will calculate the factors of 74924 and 74940 and find the biggest common factor number .

Step-1: Prime Factorization of 74924

Prime factors of 74924 are 2, 18731. Prime factorization of 74924 in exponential form is:

74924 = 2² × 18731¹

Step-2: Prime Factorization of 74940

Prime factors of 74940 are 2, 3, 5, 1249. Prime factorization of 74940 in exponential form is:

74940 = 2² × 3¹ × 5¹ × 1249¹

Step-3: Factors of 74924

List of positive integer factors of 74924 that divides 74924 without a remainder.

1, 2, 4, 18731, 37462

Step-4: Factors of 74940

List of positive integer factors of 74940 that divides 74924 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1249, 2498, 3747, 4996, 6245, 7494, 12490, 14988, 18735, 24980, 37470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74924 and 74940. The biggest common factor number is the GCF number.
So the greatest common factor 74924 and 74940 is 4.

Also check out the Least Common Multiple of 74924 and 74940