What is the Greatest Common Factor of 8948 and 8962?

Greatest common factor (GCF) of 8948 and 8962 is 2.

GCF(8948,8962) = 2

We will now calculate the prime factors of 8948 and 8962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8948 and 8962.

How to find the GCF of 8948 and 8962?

We will first find the prime factorization of 8948 and 8962. After we will calculate the factors of 8948 and 8962 and find the biggest common factor number .

Step-1: Prime Factorization of 8948

Prime factors of 8948 are 2, 2237. Prime factorization of 8948 in exponential form is:

8948 = 2² × 2237¹

Step-2: Prime Factorization of 8962

Prime factors of 8962 are 2, 4481. Prime factorization of 8962 in exponential form is:

8962 = 2¹ × 4481¹

Step-3: Factors of 8948

List of positive integer factors of 8948 that divides 8948 without a remainder.

1, 2, 4, 2237, 4474

Step-4: Factors of 8962

List of positive integer factors of 8962 that divides 8948 without a remainder.

1, 2, 4481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8948 and 8962. The biggest common factor number is the GCF number.
So the greatest common factor 8948 and 8962 is 2.

Also check out the Least Common Multiple of 8948 and 8962