What is the Greatest Common Factor of 37204 and 37220?

Greatest common factor (GCF) of 37204 and 37220 is 4.

GCF(37204,37220) = 4

We will now calculate the prime factors of 37204 and 37220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37204 and 37220.

How to find the GCF of 37204 and 37220?

We will first find the prime factorization of 37204 and 37220. After we will calculate the factors of 37204 and 37220 and find the biggest common factor number .

Step-1: Prime Factorization of 37204

Prime factors of 37204 are 2, 71, 131. Prime factorization of 37204 in exponential form is:

37204 = 2² × 71¹ × 131¹

Step-2: Prime Factorization of 37220

Prime factors of 37220 are 2, 5, 1861. Prime factorization of 37220 in exponential form is:

37220 = 2² × 5¹ × 1861¹

Step-3: Factors of 37204

List of positive integer factors of 37204 that divides 37204 without a remainder.

1, 2, 4, 71, 131, 142, 262, 284, 524, 9301, 18602

Step-4: Factors of 37220

List of positive integer factors of 37220 that divides 37204 without a remainder.

1, 2, 4, 5, 10, 20, 1861, 3722, 7444, 9305, 18610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37204 and 37220. The biggest common factor number is the GCF number.
So the greatest common factor 37204 and 37220 is 4.

Also check out the Least Common Multiple of 37204 and 37220