What is the Greatest Common Factor of 8969 and 8988?

Greatest common factor (GCF) of 8969 and 8988 is 1.

GCF(8969,8988) = 1

We will now calculate the prime factors of 8969 and 8988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8969 and 8988.

How to find the GCF of 8969 and 8988?

We will first find the prime factorization of 8969 and 8988. After we will calculate the factors of 8969 and 8988 and find the biggest common factor number .

Step-1: Prime Factorization of 8969

Prime factors of 8969 are 8969. Prime factorization of 8969 in exponential form is:

8969 = 8969¹

Step-2: Prime Factorization of 8988

Prime factors of 8988 are 2, 3, 7, 107. Prime factorization of 8988 in exponential form is:

8988 = 2² × 3¹ × 7¹ × 107¹

Step-3: Factors of 8969

List of positive integer factors of 8969 that divides 8969 without a remainder.

Step-4: Factors of 8988

List of positive integer factors of 8988 that divides 8969 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 107, 214, 321, 428, 642, 749, 1284, 1498, 2247, 2996, 4494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8969 and 8988. The biggest common factor number is the GCF number.
So the greatest common factor 8969 and 8988 is 1.

Also check out the Least Common Multiple of 8969 and 8988