What is the Greatest Common Factor of 81522 and 81537?

Greatest common factor (GCF) of 81522 and 81537 is 3.

GCF(81522,81537) = 3

We will now calculate the prime factors of 81522 and 81537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81522 and 81537.

How to find the GCF of 81522 and 81537?

We will first find the prime factorization of 81522 and 81537. After we will calculate the factors of 81522 and 81537 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81537

Prime factors of 81537 are 3, 27179. Prime factorization of 81537 in exponential form is:

81537 = 3¹ × 27179¹

Step-3: Factors of 81522

List of positive integer factors of 81522 that divides 81522 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

Step-4: Factors of 81537

List of positive integer factors of 81537 that divides 81522 without a remainder.

1, 3, 27179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81522 and 81537. The biggest common factor number is the GCF number.
So the greatest common factor 81522 and 81537 is 3.

Also check out the Least Common Multiple of 81522 and 81537