What is the Greatest Common Factor of 44640 and 44646?

Greatest common factor (GCF) of 44640 and 44646 is 6.

GCF(44640,44646) = 6

We will now calculate the prime factors of 44640 and 44646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44640 and 44646.

How to find the GCF of 44640 and 44646?

We will first find the prime factorization of 44640 and 44646. After we will calculate the factors of 44640 and 44646 and find the biggest common factor number .

Step-1: Prime Factorization of 44640

Prime factors of 44640 are 2, 3, 5, 31. Prime factorization of 44640 in exponential form is:

44640 = 2⁵ × 3² × 5¹ × 31¹

Step-2: Prime Factorization of 44646

Prime factors of 44646 are 2, 3, 7, 1063. Prime factorization of 44646 in exponential form is:

44646 = 2¹ × 3¹ × 7¹ × 1063¹

Step-3: Factors of 44640

List of positive integer factors of 44640 that divides 44640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 31, 32, 36, 40, 45, 48, 60, 62, 72, 80, 90, 93, 96, 120, 124, 144, 155, 160, 180, 186, 240, 248, 279, 288, 310, 360, 372, 465, 480, 496, 558, 620, 720, 744, 930, 992, 1116, 1240, 1395, 1440, 1488, 1860, 2232, 2480, 2790, 2976, 3720, 4464, 4960, 5580, 7440, 8928, 11160, 14880, 22320

Step-4: Factors of 44646

List of positive integer factors of 44646 that divides 44640 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1063, 2126, 3189, 6378, 7441, 14882, 22323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44640 and 44646. The biggest common factor number is the GCF number.
So the greatest common factor 44640 and 44646 is 6.

Also check out the Least Common Multiple of 44640 and 44646