What is the Greatest Common Factor of 74940 and 74951?

Greatest common factor (GCF) of 74940 and 74951 is 1.

GCF(74940,74951) = 1

We will now calculate the prime factors of 74940 and 74951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74940 and 74951.

How to find the GCF of 74940 and 74951?

We will first find the prime factorization of 74940 and 74951. After we will calculate the factors of 74940 and 74951 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 74951

Prime factors of 74951 are 241, 311. Prime factorization of 74951 in exponential form is:

74951 = 241¹ × 311¹

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 74951

List of positive integer factors of 74951 that divides 74940 without a remainder.

1, 241, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74940 and 74951. The biggest common factor number is the GCF number.
So the greatest common factor 74940 and 74951 is 1.

Also check out the Least Common Multiple of 74940 and 74951