What is the Greatest Common Factor of 37445 and 37459?

Greatest common factor (GCF) of 37445 and 37459 is 1.

GCF(37445,37459) = 1

We will now calculate the prime factors of 37445 and 37459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37445 and 37459.

How to find the GCF of 37445 and 37459?

We will first find the prime factorization of 37445 and 37459. After we will calculate the factors of 37445 and 37459 and find the biggest common factor number .

Step-1: Prime Factorization of 37445

Prime factors of 37445 are 5, 7489. Prime factorization of 37445 in exponential form is:

37445 = 5¹ × 7489¹

Step-2: Prime Factorization of 37459

Prime factors of 37459 are 47, 797. Prime factorization of 37459 in exponential form is:

37459 = 47¹ × 797¹

Step-3: Factors of 37445

List of positive integer factors of 37445 that divides 37445 without a remainder.

1, 5, 7489

Step-4: Factors of 37459

List of positive integer factors of 37459 that divides 37445 without a remainder.

1, 47, 797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37445 and 37459. The biggest common factor number is the GCF number.
So the greatest common factor 37445 and 37459 is 1.

Also check out the Least Common Multiple of 37445 and 37459