What is the Greatest Common Factor of 69100 and 69115?

Greatest common factor (GCF) of 69100 and 69115 is 5.

GCF(69100,69115) = 5

We will now calculate the prime factors of 69100 and 69115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69100 and 69115.

How to find the GCF of 69100 and 69115?

We will first find the prime factorization of 69100 and 69115. After we will calculate the factors of 69100 and 69115 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69115

Prime factors of 69115 are 5, 23, 601. Prime factorization of 69115 in exponential form is:

69115 = 5¹ × 23¹ × 601¹

Step-3: Factors of 69100

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

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

Step-4: Factors of 69115

List of positive integer factors of 69115 that divides 69100 without a remainder.

1, 5, 23, 115, 601, 3005, 13823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69100 and 69115. The biggest common factor number is the GCF number.
So the greatest common factor 69100 and 69115 is 5.

Also check out the Least Common Multiple of 69100 and 69115