What is the Greatest Common Factor of 39632 and 39648?

Greatest common factor (GCF) of 39632 and 39648 is 16.

GCF(39632,39648) = 16

We will now calculate the prime factors of 39632 and 39648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39632 and 39648.

How to find the GCF of 39632 and 39648?

We will first find the prime factorization of 39632 and 39648. After we will calculate the factors of 39632 and 39648 and find the biggest common factor number .

Step-1: Prime Factorization of 39632

Prime factors of 39632 are 2, 2477. Prime factorization of 39632 in exponential form is:

39632 = 2⁴ × 2477¹

Step-2: 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-3: Factors of 39632

List of positive integer factors of 39632 that divides 39632 without a remainder.

1, 2, 4, 8, 16, 2477, 4954, 9908, 19816

Step-4: Factors of 39648

List of positive integer factors of 39648 that divides 39632 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39632 and 39648. The biggest common factor number is the GCF number.
So the greatest common factor 39632 and 39648 is 16.

Also check out the Least Common Multiple of 39632 and 39648