What is the Greatest Common Factor of 81605 and 81624?

Greatest common factor (GCF) of 81605 and 81624 is 19.

GCF(81605,81624) = 19

We will now calculate the prime factors of 81605 and 81624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81605 and 81624.

How to find the GCF of 81605 and 81624?

We will first find the prime factorization of 81605 and 81624. After we will calculate the factors of 81605 and 81624 and find the biggest common factor number .

Step-1: Prime Factorization of 81605

Prime factors of 81605 are 5, 19, 859. Prime factorization of 81605 in exponential form is:

81605 = 5¹ × 19¹ × 859¹

Step-2: 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-3: Factors of 81605

List of positive integer factors of 81605 that divides 81605 without a remainder.

1, 5, 19, 95, 859, 4295, 16321

Step-4: Factors of 81624

List of positive integer factors of 81624 that divides 81605 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81605 and 81624. The biggest common factor number is the GCF number.
So the greatest common factor 81605 and 81624 is 19.

Also check out the Least Common Multiple of 81605 and 81624