What is the Greatest Common Factor of 87564 and 87569?

Greatest common factor (GCF) of 87564 and 87569 is 1.

GCF(87564,87569) = 1

We will now calculate the prime factors of 87564 and 87569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87564 and 87569.

How to find the GCF of 87564 and 87569?

We will first find the prime factorization of 87564 and 87569. After we will calculate the factors of 87564 and 87569 and find the biggest common factor number .

Step-1: Prime Factorization of 87564

Prime factors of 87564 are 2, 3, 7297. Prime factorization of 87564 in exponential form is:

87564 = 2² × 3¹ × 7297¹

Step-2: Prime Factorization of 87569

Prime factors of 87569 are 67, 1307. Prime factorization of 87569 in exponential form is:

87569 = 67¹ × 1307¹

Step-3: Factors of 87564

List of positive integer factors of 87564 that divides 87564 without a remainder.

1, 2, 3, 4, 6, 12, 7297, 14594, 21891, 29188, 43782

Step-4: Factors of 87569

List of positive integer factors of 87569 that divides 87564 without a remainder.

1, 67, 1307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87564 and 87569. The biggest common factor number is the GCF number.
So the greatest common factor 87564 and 87569 is 1.

Also check out the Least Common Multiple of 87564 and 87569