What is the Greatest Common Factor of 37050 and 37063?

Greatest common factor (GCF) of 37050 and 37063 is 13.

GCF(37050,37063) = 13

We will now calculate the prime factors of 37050 and 37063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37050 and 37063.

How to find the GCF of 37050 and 37063?

We will first find the prime factorization of 37050 and 37063. After we will calculate the factors of 37050 and 37063 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 37063

Prime factors of 37063 are 13, 2851. Prime factorization of 37063 in exponential form is:

37063 = 13¹ × 2851¹

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 37063

List of positive integer factors of 37063 that divides 37050 without a remainder.

1, 13, 2851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37050 and 37063. The biggest common factor number is the GCF number.
So the greatest common factor 37050 and 37063 is 13.

Also check out the Least Common Multiple of 37050 and 37063