What is the Greatest Common Factor of 69684 and 69701?

Greatest common factor (GCF) of 69684 and 69701 is 1.

GCF(69684,69701) = 1

We will now calculate the prime factors of 69684 and 69701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69684 and 69701.

How to find the GCF of 69684 and 69701?

We will first find the prime factorization of 69684 and 69701. After we will calculate the factors of 69684 and 69701 and find the biggest common factor number .

Step-1: Prime Factorization of 69684

Prime factors of 69684 are 2, 3, 5807. Prime factorization of 69684 in exponential form is:

69684 = 2² × 3¹ × 5807¹

Step-2: Prime Factorization of 69701

Prime factors of 69701 are 47, 1483. Prime factorization of 69701 in exponential form is:

69701 = 47¹ × 1483¹

Step-3: Factors of 69684

List of positive integer factors of 69684 that divides 69684 without a remainder.

1, 2, 3, 4, 6, 12, 5807, 11614, 17421, 23228, 34842

Step-4: Factors of 69701

List of positive integer factors of 69701 that divides 69684 without a remainder.

1, 47, 1483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69684 and 69701. The biggest common factor number is the GCF number.
So the greatest common factor 69684 and 69701 is 1.

Also check out the Least Common Multiple of 69684 and 69701