What is the Greatest Common Factor of 37000 and 37010?

Greatest common factor (GCF) of 37000 and 37010 is 10.

GCF(37000,37010) = 10

We will now calculate the prime factors of 37000 and 37010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37000 and 37010.

How to find the GCF of 37000 and 37010?

We will first find the prime factorization of 37000 and 37010. After we will calculate the factors of 37000 and 37010 and find the biggest common factor number .

Step-1: Prime Factorization of 37000

Prime factors of 37000 are 2, 5, 37. Prime factorization of 37000 in exponential form is:

37000 = 2³ × 5³ × 37¹

Step-2: Prime Factorization of 37010

Prime factors of 37010 are 2, 5, 3701. Prime factorization of 37010 in exponential form is:

37010 = 2¹ × 5¹ × 3701¹

Step-3: Factors of 37000

List of positive integer factors of 37000 that divides 37000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 125, 148, 185, 200, 250, 296, 370, 500, 740, 925, 1000, 1480, 1850, 3700, 4625, 7400, 9250, 18500

Step-4: Factors of 37010

List of positive integer factors of 37010 that divides 37000 without a remainder.

1, 2, 5, 10, 3701, 7402, 18505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37000 and 37010. The biggest common factor number is the GCF number.
So the greatest common factor 37000 and 37010 is 10.

Also check out the Least Common Multiple of 37000 and 37010