What is the Greatest Common Factor of 83544 and 83555?

Greatest common factor (GCF) of 83544 and 83555 is 1.

GCF(83544,83555) = 1

We will now calculate the prime factors of 83544 and 83555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83544 and 83555.

How to find the GCF of 83544 and 83555?

We will first find the prime factorization of 83544 and 83555. After we will calculate the factors of 83544 and 83555 and find the biggest common factor number .

Step-1: Prime Factorization of 83544

Prime factors of 83544 are 2, 3, 59. Prime factorization of 83544 in exponential form is:

83544 = 2³ × 3¹ × 59²

Step-2: Prime Factorization of 83555

Prime factors of 83555 are 5, 17, 983. Prime factorization of 83555 in exponential form is:

83555 = 5¹ × 17¹ × 983¹

Step-3: Factors of 83544

List of positive integer factors of 83544 that divides 83544 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 236, 354, 472, 708, 1416, 3481, 6962, 10443, 13924, 20886, 27848, 41772

Step-4: Factors of 83555

List of positive integer factors of 83555 that divides 83544 without a remainder.

1, 5, 17, 85, 983, 4915, 16711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83544 and 83555. The biggest common factor number is the GCF number.
So the greatest common factor 83544 and 83555 is 1.

Also check out the Least Common Multiple of 83544 and 83555