What is the Greatest Common Factor of 8948 and 8961?

Greatest common factor (GCF) of 8948 and 8961 is 1.

GCF(8948,8961) = 1

We will now calculate the prime factors of 8948 and 8961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8948 and 8961.

How to find the GCF of 8948 and 8961?

We will first find the prime factorization of 8948 and 8961. After we will calculate the factors of 8948 and 8961 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 8961

Prime factors of 8961 are 3, 29, 103. Prime factorization of 8961 in exponential form is:

8961 = 3¹ × 29¹ × 103¹

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 8961

List of positive integer factors of 8961 that divides 8948 without a remainder.

1, 3, 29, 87, 103, 309, 2987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8948 and 8961. The biggest common factor number is the GCF number.
So the greatest common factor 8948 and 8961 is 1.

Also check out the Least Common Multiple of 8948 and 8961