What is the Greatest Common Factor of 81522 and 81538?

Greatest common factor (GCF) of 81522 and 81538 is 2.

GCF(81522,81538) = 2

We will now calculate the prime factors of 81522 and 81538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81522 and 81538.

How to find the GCF of 81522 and 81538?

We will first find the prime factorization of 81522 and 81538. After we will calculate the factors of 81522 and 81538 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 81538

Prime factors of 81538 are 2, 59, 691. Prime factorization of 81538 in exponential form is:

81538 = 2¹ × 59¹ × 691¹

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 81538

List of positive integer factors of 81538 that divides 81522 without a remainder.

1, 2, 59, 118, 691, 1382, 40769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81522 and 81538. The biggest common factor number is the GCF number.
So the greatest common factor 81522 and 81538 is 2.

Also check out the Least Common Multiple of 81522 and 81538