What is the Greatest Common Factor of 38628 and 38640?

Greatest common factor (GCF) of 38628 and 38640 is 12.

GCF(38628,38640) = 12

We will now calculate the prime factors of 38628 and 38640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38628 and 38640.

How to find the GCF of 38628 and 38640?

We will first find the prime factorization of 38628 and 38640. After we will calculate the factors of 38628 and 38640 and find the biggest common factor number .

Step-1: Prime Factorization of 38628

Prime factors of 38628 are 2, 3, 29, 37. Prime factorization of 38628 in exponential form is:

38628 = 2² × 3² × 29¹ × 37¹

Step-2: Prime Factorization of 38640

Prime factors of 38640 are 2, 3, 5, 7, 23. Prime factorization of 38640 in exponential form is:

38640 = 2⁴ × 3¹ × 5¹ × 7¹ × 23¹

Step-3: Factors of 38628

List of positive integer factors of 38628 that divides 38628 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 37, 58, 74, 87, 111, 116, 148, 174, 222, 261, 333, 348, 444, 522, 666, 1044, 1073, 1332, 2146, 3219, 4292, 6438, 9657, 12876, 19314

Step-4: Factors of 38640

List of positive integer factors of 38640 that divides 38628 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 23, 24, 28, 30, 35, 40, 42, 46, 48, 56, 60, 69, 70, 80, 84, 92, 105, 112, 115, 120, 138, 140, 161, 168, 184, 210, 230, 240, 276, 280, 322, 336, 345, 368, 420, 460, 483, 552, 560, 644, 690, 805, 840, 920, 966, 1104, 1288, 1380, 1610, 1680, 1840, 1932, 2415, 2576, 2760, 3220, 3864, 4830, 5520, 6440, 7728, 9660, 12880, 19320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38628 and 38640. The biggest common factor number is the GCF number.
So the greatest common factor 38628 and 38640 is 12.

Also check out the Least Common Multiple of 38628 and 38640