What is the Greatest Common Factor of 81120 and 81130?

Greatest common factor (GCF) of 81120 and 81130 is 10.

GCF(81120,81130) = 10

We will now calculate the prime factors of 81120 and 81130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81120 and 81130.

How to find the GCF of 81120 and 81130?

We will first find the prime factorization of 81120 and 81130. After we will calculate the factors of 81120 and 81130 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81130

Prime factors of 81130 are 2, 5, 7, 19, 61. Prime factorization of 81130 in exponential form is:

81130 = 2¹ × 5¹ × 7¹ × 19¹ × 61¹

Step-3: Factors of 81120

List of positive integer factors of 81120 that divides 81120 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

Step-4: Factors of 81130

List of positive integer factors of 81130 that divides 81120 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 61, 70, 95, 122, 133, 190, 266, 305, 427, 610, 665, 854, 1159, 1330, 2135, 2318, 4270, 5795, 8113, 11590, 16226, 40565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81120 and 81130. The biggest common factor number is the GCF number.
So the greatest common factor 81120 and 81130 is 10.

Also check out the Least Common Multiple of 81120 and 81130