What is the Greatest Common Factor of 69976 and 69980?

Greatest common factor (GCF) of 69976 and 69980 is 4.

GCF(69976,69980) = 4

We will now calculate the prime factors of 69976 and 69980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69976 and 69980.

How to find the GCF of 69976 and 69980?

We will first find the prime factorization of 69976 and 69980. After we will calculate the factors of 69976 and 69980 and find the biggest common factor number .

Step-1: Prime Factorization of 69976

Prime factors of 69976 are 2, 8747. Prime factorization of 69976 in exponential form is:

69976 = 2³ × 8747¹

Step-2: Prime Factorization of 69980

Prime factors of 69980 are 2, 5, 3499. Prime factorization of 69980 in exponential form is:

69980 = 2² × 5¹ × 3499¹

Step-3: Factors of 69976

List of positive integer factors of 69976 that divides 69976 without a remainder.

1, 2, 4, 8, 8747, 17494, 34988

Step-4: Factors of 69980

List of positive integer factors of 69980 that divides 69976 without a remainder.

1, 2, 4, 5, 10, 20, 3499, 6998, 13996, 17495, 34990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69976 and 69980. The biggest common factor number is the GCF number.
So the greatest common factor 69976 and 69980 is 4.

Also check out the Least Common Multiple of 69976 and 69980