What is the Greatest Common Factor of 37035 and 37050?

Greatest common factor (GCF) of 37035 and 37050 is 15.

GCF(37035,37050) = 15

We will now calculate the prime factors of 37035 and 37050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37035 and 37050.

How to find the GCF of 37035 and 37050?

We will first find the prime factorization of 37035 and 37050. After we will calculate the factors of 37035 and 37050 and find the biggest common factor number .

Step-1: Prime Factorization of 37035

Prime factors of 37035 are 3, 5, 823. Prime factorization of 37035 in exponential form is:

37035 = 3² × 5¹ × 823¹

Step-2: 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-3: Factors of 37035

List of positive integer factors of 37035 that divides 37035 without a remainder.

1, 3, 5, 9, 15, 45, 823, 2469, 4115, 7407, 12345

Step-4: Factors of 37050

List of positive integer factors of 37050 that divides 37035 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37035 and 37050. The biggest common factor number is the GCF number.
So the greatest common factor 37035 and 37050 is 15.

Also check out the Least Common Multiple of 37035 and 37050