What is the Greatest Common Factor of 81260 and 81277?

Greatest common factor (GCF) of 81260 and 81277 is 17.

GCF(81260,81277) = 17

We will now calculate the prime factors of 81260 and 81277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81260 and 81277.

How to find the GCF of 81260 and 81277?

We will first find the prime factorization of 81260 and 81277. After we will calculate the factors of 81260 and 81277 and find the biggest common factor number .

Step-1: Prime Factorization of 81260

Prime factors of 81260 are 2, 5, 17, 239. Prime factorization of 81260 in exponential form is:

81260 = 2² × 5¹ × 17¹ × 239¹

Step-2: Prime Factorization of 81277

Prime factors of 81277 are 7, 17, 683. Prime factorization of 81277 in exponential form is:

81277 = 7¹ × 17¹ × 683¹

Step-3: Factors of 81260

List of positive integer factors of 81260 that divides 81260 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 239, 340, 478, 956, 1195, 2390, 4063, 4780, 8126, 16252, 20315, 40630

Step-4: Factors of 81277

List of positive integer factors of 81277 that divides 81260 without a remainder.

1, 7, 17, 119, 683, 4781, 11611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81260 and 81277. The biggest common factor number is the GCF number.
So the greatest common factor 81260 and 81277 is 17.

Also check out the Least Common Multiple of 81260 and 81277