What is the Greatest Common Factor of 96950 and 96962?

Greatest common factor (GCF) of 96950 and 96962 is 2.

GCF(96950,96962) = 2

We will now calculate the prime factors of 96950 and 96962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96950 and 96962.

How to find the GCF of 96950 and 96962?

We will first find the prime factorization of 96950 and 96962. After we will calculate the factors of 96950 and 96962 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 96962

Prime factors of 96962 are 2, 48481. Prime factorization of 96962 in exponential form is:

96962 = 2¹ × 48481¹

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 96962

List of positive integer factors of 96962 that divides 96950 without a remainder.

1, 2, 48481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96950 and 96962. The biggest common factor number is the GCF number.
So the greatest common factor 96950 and 96962 is 2.

Also check out the Least Common Multiple of 96950 and 96962