What is the Greatest Common Factor of 5072 and 5087?

Greatest common factor (GCF) of 5072 and 5087 is 1.

GCF(5072,5087) = 1

We will now calculate the prime factors of 5072 and 5087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5072 and 5087.

How to find the GCF of 5072 and 5087?

We will first find the prime factorization of 5072 and 5087. After we will calculate the factors of 5072 and 5087 and find the biggest common factor number .

Step-1: Prime Factorization of 5072

Prime factors of 5072 are 2, 317. Prime factorization of 5072 in exponential form is:

5072 = 2⁴ × 317¹

Step-2: Prime Factorization of 5087

Prime factors of 5087 are 5087. Prime factorization of 5087 in exponential form is:

5087 = 5087¹

Step-3: Factors of 5072

List of positive integer factors of 5072 that divides 5072 without a remainder.

1, 2, 4, 8, 16, 317, 634, 1268, 2536

Step-4: Factors of 5087

List of positive integer factors of 5087 that divides 5072 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5072 and 5087. The biggest common factor number is the GCF number.
So the greatest common factor 5072 and 5087 is 1.

Also check out the Least Common Multiple of 5072 and 5087