What is the Greatest Common Factor of 81100 and 81120?

Greatest common factor (GCF) of 81100 and 81120 is 20.

GCF(81100,81120) = 20

We will now calculate the prime factors of 81100 and 81120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81100 and 81120.

How to find the GCF of 81100 and 81120?

We will first find the prime factorization of 81100 and 81120. After we will calculate the factors of 81100 and 81120 and find the biggest common factor number .

Step-1: Prime Factorization of 81100

Prime factors of 81100 are 2, 5, 811. Prime factorization of 81100 in exponential form is:

81100 = 2² × 5² × 811¹

Step-2: Prime Factorization of 81120

Prime factors of 81120 are 2, 3, 5, 13. Prime factorization of 81120 in exponential form is:

81120 = 2⁵ × 3¹ × 5¹ × 13²

Step-3: Factors of 81100

List of positive integer factors of 81100 that divides 81100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 811, 1622, 3244, 4055, 8110, 16220, 20275, 40550

Step-4: Factors of 81120

List of positive integer factors of 81120 that divides 81100 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 169, 195, 208, 240, 260, 312, 338, 390, 416, 480, 507, 520, 624, 676, 780, 845, 1014, 1040, 1248, 1352, 1560, 1690, 2028, 2080, 2535, 2704, 3120, 3380, 4056, 5070, 5408, 6240, 6760, 8112, 10140, 13520, 16224, 20280, 27040, 40560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81100 and 81120. The biggest common factor number is the GCF number.
So the greatest common factor 81100 and 81120 is 20.

Also check out the Least Common Multiple of 81100 and 81120