What is the Greatest Common Factor of 37000 and 37012?

Greatest common factor (GCF) of 37000 and 37012 is 4.

GCF(37000,37012) = 4

We will now calculate the prime factors of 37000 and 37012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37000 and 37012.

How to find the GCF of 37000 and 37012?

We will first find the prime factorization of 37000 and 37012. After we will calculate the factors of 37000 and 37012 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 37012

Prime factors of 37012 are 2, 19, 487. Prime factorization of 37012 in exponential form is:

37012 = 2² × 19¹ × 487¹

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 37012

List of positive integer factors of 37012 that divides 37000 without a remainder.

1, 2, 4, 19, 38, 76, 487, 974, 1948, 9253, 18506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37000 and 37012. The biggest common factor number is the GCF number.
So the greatest common factor 37000 and 37012 is 4.

Also check out the Least Common Multiple of 37000 and 37012