What is the Greatest Common Factor of 69708 and 69713?

Greatest common factor (GCF) of 69708 and 69713 is 1.

GCF(69708,69713) = 1

We will now calculate the prime factors of 69708 and 69713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69708 and 69713.

How to find the GCF of 69708 and 69713?

We will first find the prime factorization of 69708 and 69713. After we will calculate the factors of 69708 and 69713 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 69713

Prime factors of 69713 are 7, 23, 433. Prime factorization of 69713 in exponential form is:

69713 = 7¹ × 23¹ × 433¹

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 69713

List of positive integer factors of 69713 that divides 69708 without a remainder.

1, 7, 23, 161, 433, 3031, 9959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69708 and 69713. The biggest common factor number is the GCF number.
So the greatest common factor 69708 and 69713 is 1.

Also check out the Least Common Multiple of 69708 and 69713