What is the Greatest Common Factor of 37196 and 37201?

Greatest common factor (GCF) of 37196 and 37201 is 1.

GCF(37196,37201) = 1

We will now calculate the prime factors of 37196 and 37201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37196 and 37201.

How to find the GCF of 37196 and 37201?

We will first find the prime factorization of 37196 and 37201. After we will calculate the factors of 37196 and 37201 and find the biggest common factor number .

Step-1: Prime Factorization of 37196

Prime factors of 37196 are 2, 17, 547. Prime factorization of 37196 in exponential form is:

37196 = 2² × 17¹ × 547¹

Step-2: Prime Factorization of 37201

Prime factors of 37201 are 37201. Prime factorization of 37201 in exponential form is:

37201 = 37201¹

Step-3: Factors of 37196

List of positive integer factors of 37196 that divides 37196 without a remainder.

1, 2, 4, 17, 34, 68, 547, 1094, 2188, 9299, 18598

Step-4: Factors of 37201

List of positive integer factors of 37201 that divides 37196 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37196 and 37201. The biggest common factor number is the GCF number.
So the greatest common factor 37196 and 37201 is 1.

Also check out the Least Common Multiple of 37196 and 37201