What is the Greatest Common Factor of 50974 and 50980?

Greatest common factor (GCF) of 50974 and 50980 is 2.

GCF(50974,50980) = 2

We will now calculate the prime factors of 50974 and 50980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50974 and 50980.

How to find the GCF of 50974 and 50980?

We will first find the prime factorization of 50974 and 50980. After we will calculate the factors of 50974 and 50980 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 50980

Prime factors of 50980 are 2, 5, 2549. Prime factorization of 50980 in exponential form is:

50980 = 2² × 5¹ × 2549¹

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 50980

List of positive integer factors of 50980 that divides 50974 without a remainder.

1, 2, 4, 5, 10, 20, 2549, 5098, 10196, 12745, 25490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50974 and 50980. The biggest common factor number is the GCF number.
So the greatest common factor 50974 and 50980 is 2.

Also check out the Least Common Multiple of 50974 and 50980