What is the Greatest Common Factor of 50964 and 50978?

Greatest common factor (GCF) of 50964 and 50978 is 2.

GCF(50964,50978) = 2

We will now calculate the prime factors of 50964 and 50978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50964 and 50978.

How to find the GCF of 50964 and 50978?

We will first find the prime factorization of 50964 and 50978. After we will calculate the factors of 50964 and 50978 and find the biggest common factor number .

Step-1: Prime Factorization of 50964

Prime factors of 50964 are 2, 3, 31, 137. Prime factorization of 50964 in exponential form is:

50964 = 2² × 3¹ × 31¹ × 137¹

Step-2: Prime Factorization of 50978

Prime factors of 50978 are 2, 71, 359. Prime factorization of 50978 in exponential form is:

50978 = 2¹ × 71¹ × 359¹

Step-3: Factors of 50964

List of positive integer factors of 50964 that divides 50964 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 137, 186, 274, 372, 411, 548, 822, 1644, 4247, 8494, 12741, 16988, 25482

Step-4: Factors of 50978

List of positive integer factors of 50978 that divides 50964 without a remainder.

1, 2, 71, 142, 359, 718, 25489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50964 and 50978. The biggest common factor number is the GCF number.
So the greatest common factor 50964 and 50978 is 2.

Also check out the Least Common Multiple of 50964 and 50978