What is the Greatest Common Factor of 37054 and 37061?

Greatest common factor (GCF) of 37054 and 37061 is 1.

GCF(37054,37061) = 1

We will now calculate the prime factors of 37054 and 37061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37054 and 37061.

How to find the GCF of 37054 and 37061?

We will first find the prime factorization of 37054 and 37061. After we will calculate the factors of 37054 and 37061 and find the biggest common factor number .

Step-1: Prime Factorization of 37054

Prime factors of 37054 are 2, 97, 191. Prime factorization of 37054 in exponential form is:

37054 = 2¹ × 97¹ × 191¹

Step-2: Prime Factorization of 37061

Prime factors of 37061 are 37061. Prime factorization of 37061 in exponential form is:

37061 = 37061¹

Step-3: Factors of 37054

List of positive integer factors of 37054 that divides 37054 without a remainder.

1, 2, 97, 191, 194, 382, 18527

Step-4: Factors of 37061

List of positive integer factors of 37061 that divides 37054 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37054 and 37061. The biggest common factor number is the GCF number.
So the greatest common factor 37054 and 37061 is 1.

Also check out the Least Common Multiple of 37054 and 37061