What is the Greatest Common Factor of 37228 and 37240?

Greatest common factor (GCF) of 37228 and 37240 is 4.

GCF(37228,37240) = 4

We will now calculate the prime factors of 37228 and 37240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37228 and 37240.

How to find the GCF of 37228 and 37240?

We will first find the prime factorization of 37228 and 37240. After we will calculate the factors of 37228 and 37240 and find the biggest common factor number .

Step-1: Prime Factorization of 37228

Prime factors of 37228 are 2, 41, 227. Prime factorization of 37228 in exponential form is:

37228 = 2² × 41¹ × 227¹

Step-2: Prime Factorization of 37240

Prime factors of 37240 are 2, 5, 7, 19. Prime factorization of 37240 in exponential form is:

37240 = 2³ × 5¹ × 7² × 19¹

Step-3: Factors of 37228

List of positive integer factors of 37228 that divides 37228 without a remainder.

1, 2, 4, 41, 82, 164, 227, 454, 908, 9307, 18614

Step-4: Factors of 37240

List of positive integer factors of 37240 that divides 37228 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 49, 56, 70, 76, 95, 98, 133, 140, 152, 190, 196, 245, 266, 280, 380, 392, 490, 532, 665, 760, 931, 980, 1064, 1330, 1862, 1960, 2660, 3724, 4655, 5320, 7448, 9310, 18620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37228 and 37240. The biggest common factor number is the GCF number.
So the greatest common factor 37228 and 37240 is 4.

Also check out the Least Common Multiple of 37228 and 37240