What is the Greatest Common Factor of 90968 and 90980?

Greatest common factor (GCF) of 90968 and 90980 is 4.

GCF(90968,90980) = 4

We will now calculate the prime factors of 90968 and 90980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90968 and 90980.

How to find the GCF of 90968 and 90980?

We will first find the prime factorization of 90968 and 90980. After we will calculate the factors of 90968 and 90980 and find the biggest common factor number .

Step-1: Prime Factorization of 90968

Prime factors of 90968 are 2, 83, 137. Prime factorization of 90968 in exponential form is:

90968 = 2³ × 83¹ × 137¹

Step-2: Prime Factorization of 90980

Prime factors of 90980 are 2, 5, 4549. Prime factorization of 90980 in exponential form is:

90980 = 2² × 5¹ × 4549¹

Step-3: Factors of 90968

List of positive integer factors of 90968 that divides 90968 without a remainder.

1, 2, 4, 8, 83, 137, 166, 274, 332, 548, 664, 1096, 11371, 22742, 45484

Step-4: Factors of 90980

List of positive integer factors of 90980 that divides 90968 without a remainder.

1, 2, 4, 5, 10, 20, 4549, 9098, 18196, 22745, 45490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90968 and 90980. The biggest common factor number is the GCF number.
So the greatest common factor 90968 and 90980 is 4.

Also check out the Least Common Multiple of 90968 and 90980