What is the Greatest Common Factor of 69096 and 69100?

Greatest common factor (GCF) of 69096 and 69100 is 4.

GCF(69096,69100) = 4

We will now calculate the prime factors of 69096 and 69100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69096 and 69100.

How to find the GCF of 69096 and 69100?

We will first find the prime factorization of 69096 and 69100. After we will calculate the factors of 69096 and 69100 and find the biggest common factor number .

Step-1: Prime Factorization of 69096

Prime factors of 69096 are 2, 3, 2879. Prime factorization of 69096 in exponential form is:

69096 = 2³ × 3¹ × 2879¹

Step-2: Prime Factorization of 69100

Prime factors of 69100 are 2, 5, 691. Prime factorization of 69100 in exponential form is:

69100 = 2² × 5² × 691¹

Step-3: Factors of 69096

List of positive integer factors of 69096 that divides 69096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2879, 5758, 8637, 11516, 17274, 23032, 34548

Step-4: Factors of 69100

List of positive integer factors of 69100 that divides 69096 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 691, 1382, 2764, 3455, 6910, 13820, 17275, 34550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69096 and 69100. The biggest common factor number is the GCF number.
So the greatest common factor 69096 and 69100 is 4.

Also check out the Least Common Multiple of 69096 and 69100