What is the Greatest Common Factor of 81624 and 81630?

Greatest common factor (GCF) of 81624 and 81630 is 6.

GCF(81624,81630) = 6

We will now calculate the prime factors of 81624 and 81630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81624 and 81630.

How to find the GCF of 81624 and 81630?

We will first find the prime factorization of 81624 and 81630. After we will calculate the factors of 81624 and 81630 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 81630

Prime factors of 81630 are 2, 3, 5, 907. Prime factorization of 81630 in exponential form is:

81630 = 2¹ × 3² × 5¹ × 907¹

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 81630

List of positive integer factors of 81630 that divides 81624 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 907, 1814, 2721, 4535, 5442, 8163, 9070, 13605, 16326, 27210, 40815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81624 and 81630. The biggest common factor number is the GCF number.
So the greatest common factor 81624 and 81630 is 6.

Also check out the Least Common Multiple of 81624 and 81630