What is the Greatest Common Factor of 39648 and 39667?

Greatest common factor (GCF) of 39648 and 39667 is 1.

GCF(39648,39667) = 1

We will now calculate the prime factors of 39648 and 39667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39648 and 39667.

How to find the GCF of 39648 and 39667?

We will first find the prime factorization of 39648 and 39667. After we will calculate the factors of 39648 and 39667 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 39667

Prime factors of 39667 are 39667. Prime factorization of 39667 in exponential form is:

39667 = 39667¹

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 39667

List of positive integer factors of 39667 that divides 39648 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39648 and 39667. The biggest common factor number is the GCF number.
So the greatest common factor 39648 and 39667 is 1.

Also check out the Least Common Multiple of 39648 and 39667