What is the Greatest Common Factor of 81508 and 81522?

Greatest common factor (GCF) of 81508 and 81522 is 14.

GCF(81508,81522) = 14

We will now calculate the prime factors of 81508 and 81522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81508 and 81522.

How to find the GCF of 81508 and 81522?

We will first find the prime factorization of 81508 and 81522. After we will calculate the factors of 81508 and 81522 and find the biggest common factor number .

Step-1: Prime Factorization of 81508

Prime factors of 81508 are 2, 7, 41, 71. Prime factorization of 81508 in exponential form is:

81508 = 2² × 7¹ × 41¹ × 71¹

Step-2: Prime Factorization of 81522

Prime factors of 81522 are 2, 3, 7, 647. Prime factorization of 81522 in exponential form is:

81522 = 2¹ × 3² × 7¹ × 647¹

Step-3: Factors of 81508

List of positive integer factors of 81508 that divides 81508 without a remainder.

1, 2, 4, 7, 14, 28, 41, 71, 82, 142, 164, 284, 287, 497, 574, 994, 1148, 1988, 2911, 5822, 11644, 20377, 40754

Step-4: Factors of 81522

List of positive integer factors of 81522 that divides 81508 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 647, 1294, 1941, 3882, 4529, 5823, 9058, 11646, 13587, 27174, 40761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81508 and 81522. The biggest common factor number is the GCF number.
So the greatest common factor 81508 and 81522 is 14.

Also check out the Least Common Multiple of 81508 and 81522