What is the Greatest Common Factor of 81120 and 81138?

Greatest common factor (GCF) of 81120 and 81138 is 6.

GCF(81120,81138) = 6

We will now calculate the prime factors of 81120 and 81138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81120 and 81138.

How to find the GCF of 81120 and 81138?

We will first find the prime factorization of 81120 and 81138. After we will calculate the factors of 81120 and 81138 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 81138

Prime factors of 81138 are 2, 3, 13523. Prime factorization of 81138 in exponential form is:

81138 = 2¹ × 3¹ × 13523¹

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 81138

List of positive integer factors of 81138 that divides 81120 without a remainder.

1, 2, 3, 6, 13523, 27046, 40569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81120 and 81138. The biggest common factor number is the GCF number.
So the greatest common factor 81120 and 81138 is 6.

Also check out the Least Common Multiple of 81120 and 81138