What is the Greatest Common Factor of 69708 and 69725?

Greatest common factor (GCF) of 69708 and 69725 is 1.

GCF(69708,69725) = 1

We will now calculate the prime factors of 69708 and 69725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69708 and 69725.

How to find the GCF of 69708 and 69725?

We will first find the prime factorization of 69708 and 69725. After we will calculate the factors of 69708 and 69725 and find the biggest common factor number .

Step-1: Prime Factorization of 69708

Prime factors of 69708 are 2, 3, 37, 157. Prime factorization of 69708 in exponential form is:

69708 = 2² × 3¹ × 37¹ × 157¹

Step-2: Prime Factorization of 69725

Prime factors of 69725 are 5, 2789. Prime factorization of 69725 in exponential form is:

69725 = 5² × 2789¹

Step-3: Factors of 69708

List of positive integer factors of 69708 that divides 69708 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 157, 222, 314, 444, 471, 628, 942, 1884, 5809, 11618, 17427, 23236, 34854

Step-4: Factors of 69725

List of positive integer factors of 69725 that divides 69708 without a remainder.

1, 5, 25, 2789, 13945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69708 and 69725. The biggest common factor number is the GCF number.
So the greatest common factor 69708 and 69725 is 1.

Also check out the Least Common Multiple of 69708 and 69725