What is the Greatest Common Factor of 37118 and 37133?

Greatest common factor (GCF) of 37118 and 37133 is 1.

GCF(37118,37133) = 1

We will now calculate the prime factors of 37118 and 37133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37118 and 37133.

How to find the GCF of 37118 and 37133?

We will first find the prime factorization of 37118 and 37133. After we will calculate the factors of 37118 and 37133 and find the biggest common factor number .

Step-1: Prime Factorization of 37118

Prime factors of 37118 are 2, 67, 277. Prime factorization of 37118 in exponential form is:

37118 = 2¹ × 67¹ × 277¹

Step-2: Prime Factorization of 37133

Prime factors of 37133 are 71, 523. Prime factorization of 37133 in exponential form is:

37133 = 71¹ × 523¹

Step-3: Factors of 37118

List of positive integer factors of 37118 that divides 37118 without a remainder.

1, 2, 67, 134, 277, 554, 18559

Step-4: Factors of 37133

List of positive integer factors of 37133 that divides 37118 without a remainder.

1, 71, 523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37118 and 37133. The biggest common factor number is the GCF number.
So the greatest common factor 37118 and 37133 is 1.

Also check out the Least Common Multiple of 37118 and 37133