What is the Greatest Common Factor of 87594 and 87607?

Greatest common factor (GCF) of 87594 and 87607 is 13.

GCF(87594,87607) = 13

We will now calculate the prime factors of 87594 and 87607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87594 and 87607.

How to find the GCF of 87594 and 87607?

We will first find the prime factorization of 87594 and 87607. After we will calculate the factors of 87594 and 87607 and find the biggest common factor number .

Step-1: Prime Factorization of 87594

Prime factors of 87594 are 2, 3, 13, 1123. Prime factorization of 87594 in exponential form is:

87594 = 2¹ × 3¹ × 13¹ × 1123¹

Step-2: Prime Factorization of 87607

Prime factors of 87607 are 13, 23, 293. Prime factorization of 87607 in exponential form is:

87607 = 13¹ × 23¹ × 293¹

Step-3: Factors of 87594

List of positive integer factors of 87594 that divides 87594 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1123, 2246, 3369, 6738, 14599, 29198, 43797

Step-4: Factors of 87607

List of positive integer factors of 87607 that divides 87594 without a remainder.

1, 13, 23, 293, 299, 3809, 6739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87594 and 87607. The biggest common factor number is the GCF number.
So the greatest common factor 87594 and 87607 is 13.

Also check out the Least Common Multiple of 87594 and 87607