What is the Greatest Common Factor of 37020 and 37040?

Greatest common factor (GCF) of 37020 and 37040 is 20.

GCF(37020,37040) = 20

We will now calculate the prime factors of 37020 and 37040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37020 and 37040.

How to find the GCF of 37020 and 37040?

We will first find the prime factorization of 37020 and 37040. After we will calculate the factors of 37020 and 37040 and find the biggest common factor number .

Step-1: Prime Factorization of 37020

Prime factors of 37020 are 2, 3, 5, 617. Prime factorization of 37020 in exponential form is:

37020 = 2² × 3¹ × 5¹ × 617¹

Step-2: Prime Factorization of 37040

Prime factors of 37040 are 2, 5, 463. Prime factorization of 37040 in exponential form is:

37040 = 2⁴ × 5¹ × 463¹

Step-3: Factors of 37020

List of positive integer factors of 37020 that divides 37020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 617, 1234, 1851, 2468, 3085, 3702, 6170, 7404, 9255, 12340, 18510

Step-4: Factors of 37040

List of positive integer factors of 37040 that divides 37020 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 463, 926, 1852, 2315, 3704, 4630, 7408, 9260, 18520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37020 and 37040. The biggest common factor number is the GCF number.
So the greatest common factor 37020 and 37040 is 20.

Also check out the Least Common Multiple of 37020 and 37040