What is the Greatest Common Factor of 69509 and 69529?

Greatest common factor (GCF) of 69509 and 69529 is 1.

GCF(69509,69529) = 1

We will now calculate the prime factors of 69509 and 69529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69509 and 69529.

How to find the GCF of 69509 and 69529?

We will first find the prime factorization of 69509 and 69529. After we will calculate the factors of 69509 and 69529 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 69529

Prime factors of 69529 are 23, 3023. Prime factorization of 69529 in exponential form is:

69529 = 23¹ × 3023¹

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 69529

List of positive integer factors of 69529 that divides 69509 without a remainder.

1, 23, 3023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69509 and 69529. The biggest common factor number is the GCF number.
So the greatest common factor 69509 and 69529 is 1.

Also check out the Least Common Multiple of 69509 and 69529