What is the Greatest Common Factor of 5040 and 5056?

Greatest common factor (GCF) of 5040 and 5056 is 16.

GCF(5040,5056) = 16

We will now calculate the prime factors of 5040 and 5056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5040 and 5056.

How to find the GCF of 5040 and 5056?

We will first find the prime factorization of 5040 and 5056. After we will calculate the factors of 5040 and 5056 and find the biggest common factor number .

Step-1: Prime Factorization of 5040

Prime factors of 5040 are 2, 3, 5, 7. Prime factorization of 5040 in exponential form is:

5040 = 2⁴ × 3² × 5¹ × 7¹

Step-2: Prime Factorization of 5056

Prime factors of 5056 are 2, 79. Prime factorization of 5056 in exponential form is:

5056 = 2⁶ × 79¹

Step-3: Factors of 5040

List of positive integer factors of 5040 that divides 5040 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520

Step-4: Factors of 5056

List of positive integer factors of 5056 that divides 5040 without a remainder.

1, 2, 4, 8, 16, 32, 64, 79, 158, 316, 632, 1264, 2528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5040 and 5056. The biggest common factor number is the GCF number.
So the greatest common factor 5040 and 5056 is 16.

Also check out the Least Common Multiple of 5040 and 5056