What is the Greatest Common Factor of 8952 and 8967?

Greatest common factor (GCF) of 8952 and 8967 is 3.

GCF(8952,8967) = 3

We will now calculate the prime factors of 8952 and 8967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8952 and 8967.

How to find the GCF of 8952 and 8967?

We will first find the prime factorization of 8952 and 8967. After we will calculate the factors of 8952 and 8967 and find the biggest common factor number .

Step-1: Prime Factorization of 8952

Prime factors of 8952 are 2, 3, 373. Prime factorization of 8952 in exponential form is:

8952 = 2³ × 3¹ × 373¹

Step-2: Prime Factorization of 8967

Prime factors of 8967 are 3, 7, 61. Prime factorization of 8967 in exponential form is:

8967 = 3¹ × 7² × 61¹

Step-3: Factors of 8952

List of positive integer factors of 8952 that divides 8952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 373, 746, 1119, 1492, 2238, 2984, 4476

Step-4: Factors of 8967

List of positive integer factors of 8967 that divides 8952 without a remainder.

1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8952 and 8967. The biggest common factor number is the GCF number.
So the greatest common factor 8952 and 8967 is 3.

Also check out the Least Common Multiple of 8952 and 8967