What is the Greatest Common Factor of 56080 and 56100?

Greatest common factor (GCF) of 56080 and 56100 is 20.

GCF(56080,56100) = 20

We will now calculate the prime factors of 56080 and 56100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56080 and 56100.

How to find the GCF of 56080 and 56100?

We will first find the prime factorization of 56080 and 56100. After we will calculate the factors of 56080 and 56100 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56100

Prime factors of 56100 are 2, 3, 5, 11, 17. Prime factorization of 56100 in exponential form is:

56100 = 2² × 3¹ × 5² × 11¹ × 17¹

Step-3: Factors of 56080

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

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

Step-4: Factors of 56100

List of positive integer factors of 56100 that divides 56080 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 17, 20, 22, 25, 30, 33, 34, 44, 50, 51, 55, 60, 66, 68, 75, 85, 100, 102, 110, 132, 150, 165, 170, 187, 204, 220, 255, 275, 300, 330, 340, 374, 425, 510, 550, 561, 660, 748, 825, 850, 935, 1020, 1100, 1122, 1275, 1650, 1700, 1870, 2244, 2550, 2805, 3300, 3740, 4675, 5100, 5610, 9350, 11220, 14025, 18700, 28050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56080 and 56100. The biggest common factor number is the GCF number.
So the greatest common factor 56080 and 56100 is 20.

Also check out the Least Common Multiple of 56080 and 56100