What is the Greatest Common Factor of 96950 and 96956?

Greatest common factor (GCF) of 96950 and 96956 is 2.

GCF(96950,96956) = 2

We will now calculate the prime factors of 96950 and 96956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96950 and 96956.

How to find the GCF of 96950 and 96956?

We will first find the prime factorization of 96950 and 96956. After we will calculate the factors of 96950 and 96956 and find the biggest common factor number .

Step-1: Prime Factorization of 96950

Prime factors of 96950 are 2, 5, 7, 277. Prime factorization of 96950 in exponential form is:

96950 = 2¹ × 5² × 7¹ × 277¹

Step-2: Prime Factorization of 96956

Prime factors of 96956 are 2, 24239. Prime factorization of 96956 in exponential form is:

96956 = 2² × 24239¹

Step-3: Factors of 96950

List of positive integer factors of 96950 that divides 96950 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 277, 350, 554, 1385, 1939, 2770, 3878, 6925, 9695, 13850, 19390, 48475

Step-4: Factors of 96956

List of positive integer factors of 96956 that divides 96950 without a remainder.

1, 2, 4, 24239, 48478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96950 and 96956. The biggest common factor number is the GCF number.
So the greatest common factor 96950 and 96956 is 2.

Also check out the Least Common Multiple of 96950 and 96956