What is the Greatest Common Factor of 81522 and 81528?

Greatest common factor (GCF) of 81522 and 81528 is 6.

GCF(81522,81528) = 6

We will now calculate the prime factors of 81522 and 81528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81522 and 81528.

How to find the GCF of 81522 and 81528?

We will first find the prime factorization of 81522 and 81528. After we will calculate the factors of 81522 and 81528 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 81528

Prime factors of 81528 are 2, 3, 43, 79. Prime factorization of 81528 in exponential form is:

81528 = 2³ × 3¹ × 43¹ × 79¹

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 81528

List of positive integer factors of 81528 that divides 81522 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 79, 86, 129, 158, 172, 237, 258, 316, 344, 474, 516, 632, 948, 1032, 1896, 3397, 6794, 10191, 13588, 20382, 27176, 40764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81522 and 81528. The biggest common factor number is the GCF number.
So the greatest common factor 81522 and 81528 is 6.

Also check out the Least Common Multiple of 81522 and 81528