What is the Greatest Common Factor of 44640 and 44658?

Greatest common factor (GCF) of 44640 and 44658 is 18.

GCF(44640,44658) = 18

We will now calculate the prime factors of 44640 and 44658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44640 and 44658.

How to find the GCF of 44640 and 44658?

We will first find the prime factorization of 44640 and 44658. After we will calculate the factors of 44640 and 44658 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 44658

Prime factors of 44658 are 2, 3, 827. Prime factorization of 44658 in exponential form is:

44658 = 2¹ × 3³ × 827¹

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 44658

List of positive integer factors of 44658 that divides 44640 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 827, 1654, 2481, 4962, 7443, 14886, 22329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44640 and 44658. The biggest common factor number is the GCF number.
So the greatest common factor 44640 and 44658 is 18.

Also check out the Least Common Multiple of 44640 and 44658