What is the Greatest Common Factor of 69704 and 69708?

Greatest common factor (GCF) of 69704 and 69708 is 4.

GCF(69704,69708) = 4

We will now calculate the prime factors of 69704 and 69708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69704 and 69708.

How to find the GCF of 69704 and 69708?

We will first find the prime factorization of 69704 and 69708. After we will calculate the factors of 69704 and 69708 and find the biggest common factor number .

Step-1: Prime Factorization of 69704

Prime factors of 69704 are 2, 8713. Prime factorization of 69704 in exponential form is:

69704 = 2³ × 8713¹

Step-2: 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-3: Factors of 69704

List of positive integer factors of 69704 that divides 69704 without a remainder.

1, 2, 4, 8, 8713, 17426, 34852

Step-4: Factors of 69708

List of positive integer factors of 69708 that divides 69704 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69704 and 69708. The biggest common factor number is the GCF number.
So the greatest common factor 69704 and 69708 is 4.

Also check out the Least Common Multiple of 69704 and 69708