What is the Greatest Common Factor of 83544 and 83559?

Greatest common factor (GCF) of 83544 and 83559 is 3.

GCF(83544,83559) = 3

We will now calculate the prime factors of 83544 and 83559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83544 and 83559.

How to find the GCF of 83544 and 83559?

We will first find the prime factorization of 83544 and 83559. After we will calculate the factors of 83544 and 83559 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 83559

Prime factors of 83559 are 3, 7, 23, 173. Prime factorization of 83559 in exponential form is:

83559 = 3¹ × 7¹ × 23¹ × 173¹

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 83559

List of positive integer factors of 83559 that divides 83544 without a remainder.

1, 3, 7, 21, 23, 69, 161, 173, 483, 519, 1211, 3633, 3979, 11937, 27853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83544 and 83559. The biggest common factor number is the GCF number.
So the greatest common factor 83544 and 83559 is 3.

Also check out the Least Common Multiple of 83544 and 83559