What is the Greatest Common Factor of 69808 and 69812?

Greatest common factor (GCF) of 69808 and 69812 is 4.

GCF(69808,69812) = 4

We will now calculate the prime factors of 69808 and 69812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69808 and 69812.

How to find the GCF of 69808 and 69812?

We will first find the prime factorization of 69808 and 69812. After we will calculate the factors of 69808 and 69812 and find the biggest common factor number .

Step-1: Prime Factorization of 69808

Prime factors of 69808 are 2, 4363. Prime factorization of 69808 in exponential form is:

69808 = 2⁴ × 4363¹

Step-2: Prime Factorization of 69812

Prime factors of 69812 are 2, 31, 563. Prime factorization of 69812 in exponential form is:

69812 = 2² × 31¹ × 563¹

Step-3: Factors of 69808

List of positive integer factors of 69808 that divides 69808 without a remainder.

1, 2, 4, 8, 16, 4363, 8726, 17452, 34904

Step-4: Factors of 69812

List of positive integer factors of 69812 that divides 69808 without a remainder.

1, 2, 4, 31, 62, 124, 563, 1126, 2252, 17453, 34906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69808 and 69812. The biggest common factor number is the GCF number.
So the greatest common factor 69808 and 69812 is 4.

Also check out the Least Common Multiple of 69808 and 69812