What is the Greatest Common Factor of 56074 and 56080?

Greatest common factor (GCF) of 56074 and 56080 is 2.

GCF(56074,56080) = 2

We will now calculate the prime factors of 56074 and 56080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56074 and 56080.

How to find the GCF of 56074 and 56080?

We will first find the prime factorization of 56074 and 56080. After we will calculate the factors of 56074 and 56080 and find the biggest common factor number .

Step-1: Prime Factorization of 56074

Prime factors of 56074 are 2, 23, 53. Prime factorization of 56074 in exponential form is:

56074 = 2¹ × 23² × 53¹

Step-2: Prime Factorization of 56080

Prime factors of 56080 are 2, 5, 701. Prime factorization of 56080 in exponential form is:

56080 = 2⁴ × 5¹ × 701¹

Step-3: Factors of 56074

List of positive integer factors of 56074 that divides 56074 without a remainder.

1, 2, 23, 46, 53, 106, 529, 1058, 1219, 2438, 28037

Step-4: Factors of 56080

List of positive integer factors of 56080 that divides 56074 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 701, 1402, 2804, 3505, 5608, 7010, 11216, 14020, 28040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56074 and 56080. The biggest common factor number is the GCF number.
So the greatest common factor 56074 and 56080 is 2.

Also check out the Least Common Multiple of 56074 and 56080