What is the Greatest Common Factor of 69509 and 69524?

Greatest common factor (GCF) of 69509 and 69524 is 1.

GCF(69509,69524) = 1

We will now calculate the prime factors of 69509 and 69524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69509 and 69524.

How to find the GCF of 69509 and 69524?

We will first find the prime factorization of 69509 and 69524. After we will calculate the factors of 69509 and 69524 and find the biggest common factor number .

Step-1: Prime Factorization of 69509

Prime factors of 69509 are 11, 71, 89. Prime factorization of 69509 in exponential form is:

69509 = 11¹ × 71¹ × 89¹

Step-2: 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-3: Factors of 69509

List of positive integer factors of 69509 that divides 69509 without a remainder.

1, 11, 71, 89, 781, 979, 6319

Step-4: Factors of 69524

List of positive integer factors of 69524 that divides 69509 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69509 and 69524. The biggest common factor number is the GCF number.
So the greatest common factor 69509 and 69524 is 1.

Also check out the Least Common Multiple of 69509 and 69524