What is the Greatest Common Factor of 87577 and 87596?

Greatest common factor (GCF) of 87577 and 87596 is 1.

GCF(87577,87596) = 1

We will now calculate the prime factors of 87577 and 87596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87577 and 87596.

How to find the GCF of 87577 and 87596?

We will first find the prime factorization of 87577 and 87596. After we will calculate the factors of 87577 and 87596 and find the biggest common factor number .

Step-1: Prime Factorization of 87577

Prime factors of 87577 are 7, 12511. Prime factorization of 87577 in exponential form is:

87577 = 7¹ × 12511¹

Step-2: Prime Factorization of 87596

Prime factors of 87596 are 2, 61, 359. Prime factorization of 87596 in exponential form is:

87596 = 2² × 61¹ × 359¹

Step-3: Factors of 87577

List of positive integer factors of 87577 that divides 87577 without a remainder.

1, 7, 12511

Step-4: Factors of 87596

List of positive integer factors of 87596 that divides 87577 without a remainder.

1, 2, 4, 61, 122, 244, 359, 718, 1436, 21899, 43798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87577 and 87596. The biggest common factor number is the GCF number.
So the greatest common factor 87577 and 87596 is 1.

Also check out the Least Common Multiple of 87577 and 87596