What is the Greatest Common Factor of 50974 and 50988?

Greatest common factor (GCF) of 50974 and 50988 is 14.

GCF(50974,50988) = 14

We will now calculate the prime factors of 50974 and 50988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50974 and 50988.

How to find the GCF of 50974 and 50988?

We will first find the prime factorization of 50974 and 50988. After we will calculate the factors of 50974 and 50988 and find the biggest common factor number .

Step-1: Prime Factorization of 50974

Prime factors of 50974 are 2, 7, 11, 331. Prime factorization of 50974 in exponential form is:

50974 = 2¹ × 7¹ × 11¹ × 331¹

Step-2: Prime Factorization of 50988

Prime factors of 50988 are 2, 3, 7, 607. Prime factorization of 50988 in exponential form is:

50988 = 2² × 3¹ × 7¹ × 607¹

Step-3: Factors of 50974

List of positive integer factors of 50974 that divides 50974 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 331, 662, 2317, 3641, 4634, 7282, 25487

Step-4: Factors of 50988

List of positive integer factors of 50988 that divides 50974 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 607, 1214, 1821, 2428, 3642, 4249, 7284, 8498, 12747, 16996, 25494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50974 and 50988. The biggest common factor number is the GCF number.
So the greatest common factor 50974 and 50988 is 14.

Also check out the Least Common Multiple of 50974 and 50988