What is the Greatest Common Factor of 69676 and 69682?

Greatest common factor (GCF) of 69676 and 69682 is 2.

GCF(69676,69682) = 2

We will now calculate the prime factors of 69676 and 69682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69676 and 69682.

How to find the GCF of 69676 and 69682?

We will first find the prime factorization of 69676 and 69682. After we will calculate the factors of 69676 and 69682 and find the biggest common factor number .

Step-1: Prime Factorization of 69676

Prime factors of 69676 are 2, 17419. Prime factorization of 69676 in exponential form is:

69676 = 2² × 17419¹

Step-2: Prime Factorization of 69682

Prime factors of 69682 are 2, 34841. Prime factorization of 69682 in exponential form is:

69682 = 2¹ × 34841¹

Step-3: Factors of 69676

List of positive integer factors of 69676 that divides 69676 without a remainder.

1, 2, 4, 17419, 34838

Step-4: Factors of 69682

List of positive integer factors of 69682 that divides 69676 without a remainder.

1, 2, 34841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69676 and 69682. The biggest common factor number is the GCF number.
So the greatest common factor 69676 and 69682 is 2.

Also check out the Least Common Multiple of 69676 and 69682