What is the Greatest Common Factor of 69684 and 69688?

Greatest common factor (GCF) of 69684 and 69688 is 4.

GCF(69684,69688) = 4

We will now calculate the prime factors of 69684 and 69688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69684 and 69688.

How to find the GCF of 69684 and 69688?

We will first find the prime factorization of 69684 and 69688. After we will calculate the factors of 69684 and 69688 and find the biggest common factor number .

Step-1: Prime Factorization of 69684

Prime factors of 69684 are 2, 3, 5807. Prime factorization of 69684 in exponential form is:

69684 = 2² × 3¹ × 5807¹

Step-2: Prime Factorization of 69688

Prime factors of 69688 are 2, 31, 281. Prime factorization of 69688 in exponential form is:

69688 = 2³ × 31¹ × 281¹

Step-3: Factors of 69684

List of positive integer factors of 69684 that divides 69684 without a remainder.

1, 2, 3, 4, 6, 12, 5807, 11614, 17421, 23228, 34842

Step-4: Factors of 69688

List of positive integer factors of 69688 that divides 69684 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248, 281, 562, 1124, 2248, 8711, 17422, 34844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69684 and 69688. The biggest common factor number is the GCF number.
So the greatest common factor 69684 and 69688 is 4.

Also check out the Least Common Multiple of 69684 and 69688