What is the Greatest Common Factor of 69524 and 69538?

Greatest common factor (GCF) of 69524 and 69538 is 14.

GCF(69524,69538) = 14

We will now calculate the prime factors of 69524 and 69538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69524 and 69538.

How to find the GCF of 69524 and 69538?

We will first find the prime factorization of 69524 and 69538. After we will calculate the factors of 69524 and 69538 and find the biggest common factor number .

Step-1: Prime Factorization of 69524

Prime factors of 69524 are 2, 7, 13, 191. Prime factorization of 69524 in exponential form is:

69524 = 2² × 7¹ × 13¹ × 191¹

Step-2: Prime Factorization of 69538

Prime factors of 69538 are 2, 7, 4967. Prime factorization of 69538 in exponential form is:

69538 = 2¹ × 7¹ × 4967¹

Step-3: Factors of 69524

List of positive integer factors of 69524 that divides 69524 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 191, 364, 382, 764, 1337, 2483, 2674, 4966, 5348, 9932, 17381, 34762

Step-4: Factors of 69538

List of positive integer factors of 69538 that divides 69524 without a remainder.

1, 2, 7, 14, 4967, 9934, 34769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69524 and 69538. The biggest common factor number is the GCF number.
So the greatest common factor 69524 and 69538 is 14.

Also check out the Least Common Multiple of 69524 and 69538