What is the Greatest Common Factor of 39559 and 39576?

Greatest common factor (GCF) of 39559 and 39576 is 17.

GCF(39559,39576) = 17

We will now calculate the prime factors of 39559 and 39576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39559 and 39576.

How to find the GCF of 39559 and 39576?

We will first find the prime factorization of 39559 and 39576. After we will calculate the factors of 39559 and 39576 and find the biggest common factor number .

Step-1: Prime Factorization of 39559

Prime factors of 39559 are 13, 17, 179. Prime factorization of 39559 in exponential form is:

39559 = 13¹ × 17¹ × 179¹

Step-2: Prime Factorization of 39576

Prime factors of 39576 are 2, 3, 17, 97. Prime factorization of 39576 in exponential form is:

39576 = 2³ × 3¹ × 17¹ × 97¹

Step-3: Factors of 39559

List of positive integer factors of 39559 that divides 39559 without a remainder.

1, 13, 17, 179, 221, 2327, 3043

Step-4: Factors of 39576

List of positive integer factors of 39576 that divides 39559 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 97, 102, 136, 194, 204, 291, 388, 408, 582, 776, 1164, 1649, 2328, 3298, 4947, 6596, 9894, 13192, 19788

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39559 and 39576. The biggest common factor number is the GCF number.
So the greatest common factor 39559 and 39576 is 17.

Also check out the Least Common Multiple of 39559 and 39576