What is the Greatest Common Factor of 69758 and 69772?

Greatest common factor (GCF) of 69758 and 69772 is 2.

GCF(69758,69772) = 2

We will now calculate the prime factors of 69758 and 69772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69758 and 69772.

How to find the GCF of 69758 and 69772?

We will first find the prime factorization of 69758 and 69772. After we will calculate the factors of 69758 and 69772 and find the biggest common factor number .

Step-1: Prime Factorization of 69758

Prime factors of 69758 are 2, 13, 2683. Prime factorization of 69758 in exponential form is:

69758 = 2¹ × 13¹ × 2683¹

Step-2: Prime Factorization of 69772

Prime factors of 69772 are 2, 17443. Prime factorization of 69772 in exponential form is:

69772 = 2² × 17443¹

Step-3: Factors of 69758

List of positive integer factors of 69758 that divides 69758 without a remainder.

1, 2, 13, 26, 2683, 5366, 34879

Step-4: Factors of 69772

List of positive integer factors of 69772 that divides 69758 without a remainder.

1, 2, 4, 17443, 34886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69758 and 69772. The biggest common factor number is the GCF number.
So the greatest common factor 69758 and 69772 is 2.

Also check out the Least Common Multiple of 69758 and 69772