What is the Greatest Common Factor of 39648 and 39659?

Greatest common factor (GCF) of 39648 and 39659 is 1.

GCF(39648,39659) = 1

We will now calculate the prime factors of 39648 and 39659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39648 and 39659.

How to find the GCF of 39648 and 39659?

We will first find the prime factorization of 39648 and 39659. After we will calculate the factors of 39648 and 39659 and find the biggest common factor number .

Step-1: Prime Factorization of 39648

Prime factors of 39648 are 2, 3, 7, 59. Prime factorization of 39648 in exponential form is:

39648 = 2⁵ × 3¹ × 7¹ × 59¹

Step-2: Prime Factorization of 39659

Prime factors of 39659 are 39659. Prime factorization of 39659 in exponential form is:

39659 = 39659¹

Step-3: Factors of 39648

List of positive integer factors of 39648 that divides 39648 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 59, 84, 96, 112, 118, 168, 177, 224, 236, 336, 354, 413, 472, 672, 708, 826, 944, 1239, 1416, 1652, 1888, 2478, 2832, 3304, 4956, 5664, 6608, 9912, 13216, 19824

Step-4: Factors of 39659

List of positive integer factors of 39659 that divides 39648 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39648 and 39659. The biggest common factor number is the GCF number.
So the greatest common factor 39648 and 39659 is 1.

Also check out the Least Common Multiple of 39648 and 39659