What is the Greatest Common Factor of 74940 and 74952?

Greatest common factor (GCF) of 74940 and 74952 is 12.

GCF(74940,74952) = 12

We will now calculate the prime factors of 74940 and 74952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74940 and 74952.

How to find the GCF of 74940 and 74952?

We will first find the prime factorization of 74940 and 74952. After we will calculate the factors of 74940 and 74952 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74952

Prime factors of 74952 are 2, 3, 347. Prime factorization of 74952 in exponential form is:

74952 = 2³ × 3³ × 347¹

Step-3: Factors of 74940

List of positive integer factors of 74940 that divides 74940 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

Step-4: Factors of 74952

List of positive integer factors of 74952 that divides 74940 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 347, 694, 1041, 1388, 2082, 2776, 3123, 4164, 6246, 8328, 9369, 12492, 18738, 24984, 37476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74940 and 74952. The biggest common factor number is the GCF number.
So the greatest common factor 74940 and 74952 is 12.

Also check out the Least Common Multiple of 74940 and 74952