What is the Greatest Common Factor of 69509 and 69528?

Greatest common factor (GCF) of 69509 and 69528 is 1.

GCF(69509,69528) = 1

We will now calculate the prime factors of 69509 and 69528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69509 and 69528.

How to find the GCF of 69509 and 69528?

We will first find the prime factorization of 69509 and 69528. After we will calculate the factors of 69509 and 69528 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 69528

Prime factors of 69528 are 2, 3, 2897. Prime factorization of 69528 in exponential form is:

69528 = 2³ × 3¹ × 2897¹

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 69528

List of positive integer factors of 69528 that divides 69509 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2897, 5794, 8691, 11588, 17382, 23176, 34764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69509 and 69528. The biggest common factor number is the GCF number.
So the greatest common factor 69509 and 69528 is 1.

Also check out the Least Common Multiple of 69509 and 69528