What is the Greatest Common Factor of 5072 and 5084?

Greatest common factor (GCF) of 5072 and 5084 is 4.

GCF(5072,5084) = 4

We will now calculate the prime factors of 5072 and 5084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5072 and 5084.

How to find the GCF of 5072 and 5084?

We will first find the prime factorization of 5072 and 5084. After we will calculate the factors of 5072 and 5084 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 5084

Prime factors of 5084 are 2, 31, 41. Prime factorization of 5084 in exponential form is:

5084 = 2² × 31¹ × 41¹

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 5084

List of positive integer factors of 5084 that divides 5072 without a remainder.

1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5072 and 5084. The biggest common factor number is the GCF number.
So the greatest common factor 5072 and 5084 is 4.

Also check out the Least Common Multiple of 5072 and 5084