What is the Greatest Common Factor of 39644 and 39648?

Greatest common factor (GCF) of 39644 and 39648 is 4.

GCF(39644,39648) = 4

We will now calculate the prime factors of 39644 and 39648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39644 and 39648.

How to find the GCF of 39644 and 39648?

We will first find the prime factorization of 39644 and 39648. After we will calculate the factors of 39644 and 39648 and find the biggest common factor number .

Step-1: Prime Factorization of 39644

Prime factors of 39644 are 2, 11, 17, 53. Prime factorization of 39644 in exponential form is:

39644 = 2² × 11¹ × 17¹ × 53¹

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 39644

List of positive integer factors of 39644 that divides 39644 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 53, 68, 106, 187, 212, 374, 583, 748, 901, 1166, 1802, 2332, 3604, 9911, 19822

Step-4: Factors of 39648

List of positive integer factors of 39648 that divides 39644 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 39644 and 39648. The biggest common factor number is the GCF number.
So the greatest common factor 39644 and 39648 is 4.

Also check out the Least Common Multiple of 39644 and 39648