What is the Greatest Common Factor of 37620 and 37628?

Greatest common factor (GCF) of 37620 and 37628 is 4.

GCF(37620,37628) = 4

We will now calculate the prime factors of 37620 and 37628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37620 and 37628.

How to find the GCF of 37620 and 37628?

We will first find the prime factorization of 37620 and 37628. After we will calculate the factors of 37620 and 37628 and find the biggest common factor number .

Step-1: Prime Factorization of 37620

Prime factors of 37620 are 2, 3, 5, 11, 19. Prime factorization of 37620 in exponential form is:

37620 = 2² × 3² × 5¹ × 11¹ × 19¹

Step-2: Prime Factorization of 37628

Prime factors of 37628 are 2, 23, 409. Prime factorization of 37628 in exponential form is:

37628 = 2² × 23¹ × 409¹

Step-3: Factors of 37620

List of positive integer factors of 37620 that divides 37620 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 19, 20, 22, 30, 33, 36, 38, 44, 45, 55, 57, 60, 66, 76, 90, 95, 99, 110, 114, 132, 165, 171, 180, 190, 198, 209, 220, 228, 285, 330, 342, 380, 396, 418, 495, 570, 627, 660, 684, 836, 855, 990, 1045, 1140, 1254, 1710, 1881, 1980, 2090, 2508, 3135, 3420, 3762, 4180, 6270, 7524, 9405, 12540, 18810

Step-4: Factors of 37628

List of positive integer factors of 37628 that divides 37620 without a remainder.

1, 2, 4, 23, 46, 92, 409, 818, 1636, 9407, 18814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37620 and 37628. The biggest common factor number is the GCF number.
So the greatest common factor 37620 and 37628 is 4.

Also check out the Least Common Multiple of 37620 and 37628