What is the Greatest Common Factor of 81624 and 81636?

Greatest common factor (GCF) of 81624 and 81636 is 12.

GCF(81624,81636) = 12

We will now calculate the prime factors of 81624 and 81636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81624 and 81636.

How to find the GCF of 81624 and 81636?

We will first find the prime factorization of 81624 and 81636. After we will calculate the factors of 81624 and 81636 and find the biggest common factor number .

Step-1: Prime Factorization of 81624

Prime factors of 81624 are 2, 3, 19, 179. Prime factorization of 81624 in exponential form is:

81624 = 2³ × 3¹ × 19¹ × 179¹

Step-2: Prime Factorization of 81636

Prime factors of 81636 are 2, 3, 6803. Prime factorization of 81636 in exponential form is:

81636 = 2² × 3¹ × 6803¹

Step-3: Factors of 81624

List of positive integer factors of 81624 that divides 81624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 179, 228, 358, 456, 537, 716, 1074, 1432, 2148, 3401, 4296, 6802, 10203, 13604, 20406, 27208, 40812

Step-4: Factors of 81636

List of positive integer factors of 81636 that divides 81624 without a remainder.

1, 2, 3, 4, 6, 12, 6803, 13606, 20409, 27212, 40818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81624 and 81636. The biggest common factor number is the GCF number.
So the greatest common factor 81624 and 81636 is 12.

Also check out the Least Common Multiple of 81624 and 81636