What is the Greatest Common Factor of 37050 and 37059?

Greatest common factor (GCF) of 37050 and 37059 is 3.

GCF(37050,37059) = 3

We will now calculate the prime factors of 37050 and 37059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37050 and 37059.

How to find the GCF of 37050 and 37059?

We will first find the prime factorization of 37050 and 37059. After we will calculate the factors of 37050 and 37059 and find the biggest common factor number .

Step-1: Prime Factorization of 37050

Prime factors of 37050 are 2, 3, 5, 13, 19. Prime factorization of 37050 in exponential form is:

37050 = 2¹ × 3¹ × 5² × 13¹ × 19¹

Step-2: Prime Factorization of 37059

Prime factors of 37059 are 3, 11, 1123. Prime factorization of 37059 in exponential form is:

37059 = 3¹ × 11¹ × 1123¹

Step-3: Factors of 37050

List of positive integer factors of 37050 that divides 37050 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 19, 25, 26, 30, 38, 39, 50, 57, 65, 75, 78, 95, 114, 130, 150, 190, 195, 247, 285, 325, 390, 475, 494, 570, 650, 741, 950, 975, 1235, 1425, 1482, 1950, 2470, 2850, 3705, 6175, 7410, 12350, 18525

Step-4: Factors of 37059

List of positive integer factors of 37059 that divides 37050 without a remainder.

1, 3, 11, 33, 1123, 3369, 12353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37050 and 37059. The biggest common factor number is the GCF number.
So the greatest common factor 37050 and 37059 is 3.

Also check out the Least Common Multiple of 37050 and 37059