What is the Greatest Common Factor of 69100 and 69105?

Greatest common factor (GCF) of 69100 and 69105 is 5.

GCF(69100,69105) = 5

We will now calculate the prime factors of 69100 and 69105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69100 and 69105.

How to find the GCF of 69100 and 69105?

We will first find the prime factorization of 69100 and 69105. After we will calculate the factors of 69100 and 69105 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 69105

Prime factors of 69105 are 3, 5, 17, 271. Prime factorization of 69105 in exponential form is:

69105 = 3¹ × 5¹ × 17¹ × 271¹

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 69105

List of positive integer factors of 69105 that divides 69100 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 271, 813, 1355, 4065, 4607, 13821, 23035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69100 and 69105. The biggest common factor number is the GCF number.
So the greatest common factor 69100 and 69105 is 5.

Also check out the Least Common Multiple of 69100 and 69105