What is the Greatest Common Factor of 39648 and 39662?

Greatest common factor (GCF) of 39648 and 39662 is 14.

GCF(39648,39662) = 14

We will now calculate the prime factors of 39648 and 39662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39648 and 39662.

How to find the GCF of 39648 and 39662?

We will first find the prime factorization of 39648 and 39662. After we will calculate the factors of 39648 and 39662 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 39662

Prime factors of 39662 are 2, 7, 2833. Prime factorization of 39662 in exponential form is:

39662 = 2¹ × 7¹ × 2833¹

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 39662

List of positive integer factors of 39662 that divides 39648 without a remainder.

1, 2, 7, 14, 2833, 5666, 19831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39648 and 39662. The biggest common factor number is the GCF number.
So the greatest common factor 39648 and 39662 is 14.

Also check out the Least Common Multiple of 39648 and 39662