What is the Greatest Common Factor of 8949 and 8968?

Greatest common factor (GCF) of 8949 and 8968 is 19.

GCF(8949,8968) = 19

We will now calculate the prime factors of 8949 and 8968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8949 and 8968.

How to find the GCF of 8949 and 8968?

We will first find the prime factorization of 8949 and 8968. After we will calculate the factors of 8949 and 8968 and find the biggest common factor number .

Step-1: Prime Factorization of 8949

Prime factors of 8949 are 3, 19, 157. Prime factorization of 8949 in exponential form is:

8949 = 3¹ × 19¹ × 157¹

Step-2: Prime Factorization of 8968

Prime factors of 8968 are 2, 19, 59. Prime factorization of 8968 in exponential form is:

8968 = 2³ × 19¹ × 59¹

Step-3: Factors of 8949

List of positive integer factors of 8949 that divides 8949 without a remainder.

1, 3, 19, 57, 157, 471, 2983

Step-4: Factors of 8968

List of positive integer factors of 8968 that divides 8949 without a remainder.

1, 2, 4, 8, 19, 38, 59, 76, 118, 152, 236, 472, 1121, 2242, 4484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8949 and 8968. The biggest common factor number is the GCF number.
So the greatest common factor 8949 and 8968 is 19.

Also check out the Least Common Multiple of 8949 and 8968