What is the Greatest Common Factor of 39634 and 39648?

Greatest common factor (GCF) of 39634 and 39648 is 14.

GCF(39634,39648) = 14

We will now calculate the prime factors of 39634 and 39648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39634 and 39648.

How to find the GCF of 39634 and 39648?

We will first find the prime factorization of 39634 and 39648. After we will calculate the factors of 39634 and 39648 and find the biggest common factor number .

Step-1: Prime Factorization of 39634

Prime factors of 39634 are 2, 7, 19, 149. Prime factorization of 39634 in exponential form is:

39634 = 2¹ × 7¹ × 19¹ × 149¹

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 39634

List of positive integer factors of 39634 that divides 39634 without a remainder.

1, 2, 7, 14, 19, 38, 133, 149, 266, 298, 1043, 2086, 2831, 5662, 19817

Step-4: Factors of 39648

List of positive integer factors of 39648 that divides 39634 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 39634 and 39648. The biggest common factor number is the GCF number.
So the greatest common factor 39634 and 39648 is 14.

Also check out the Least Common Multiple of 39634 and 39648