What is the Greatest Common Factor of 37050 and 37060?

Greatest common factor (GCF) of 37050 and 37060 is 10.

GCF(37050,37060) = 10

We will now calculate the prime factors of 37050 and 37060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37050 and 37060.

How to find the GCF of 37050 and 37060?

We will first find the prime factorization of 37050 and 37060. After we will calculate the factors of 37050 and 37060 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 37060

Prime factors of 37060 are 2, 5, 17, 109. Prime factorization of 37060 in exponential form is:

37060 = 2² × 5¹ × 17¹ × 109¹

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 37060

List of positive integer factors of 37060 that divides 37050 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 109, 170, 218, 340, 436, 545, 1090, 1853, 2180, 3706, 7412, 9265, 18530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37050 and 37060. The biggest common factor number is the GCF number.
So the greatest common factor 37050 and 37060 is 10.

Also check out the Least Common Multiple of 37050 and 37060