What is the Greatest Common Factor of 37126 and 37133?

Greatest common factor (GCF) of 37126 and 37133 is 1.

GCF(37126,37133) = 1

We will now calculate the prime factors of 37126 and 37133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37126 and 37133.

How to find the GCF of 37126 and 37133?

We will first find the prime factorization of 37126 and 37133. After we will calculate the factors of 37126 and 37133 and find the biggest common factor number .

Step-1: Prime Factorization of 37126

Prime factors of 37126 are 2, 19, 977. Prime factorization of 37126 in exponential form is:

37126 = 2¹ × 19¹ × 977¹

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 37126

List of positive integer factors of 37126 that divides 37126 without a remainder.

1, 2, 19, 38, 977, 1954, 18563

Step-4: Factors of 37133

List of positive integer factors of 37133 that divides 37126 without a remainder.

1, 71, 523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37126 and 37133. The biggest common factor number is the GCF number.
So the greatest common factor 37126 and 37133 is 1.

Also check out the Least Common Multiple of 37126 and 37133