What is the Greatest Common Factor of 37535 and 37549?

Greatest common factor (GCF) of 37535 and 37549 is 1.

GCF(37535,37549) = 1

We will now calculate the prime factors of 37535 and 37549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37535 and 37549.

How to find the GCF of 37535 and 37549?

We will first find the prime factorization of 37535 and 37549. After we will calculate the factors of 37535 and 37549 and find the biggest common factor number .

Step-1: Prime Factorization of 37535

Prime factors of 37535 are 5, 7507. Prime factorization of 37535 in exponential form is:

37535 = 5¹ × 7507¹

Step-2: Prime Factorization of 37549

Prime factors of 37549 are 37549. Prime factorization of 37549 in exponential form is:

37549 = 37549¹

Step-3: Factors of 37535

List of positive integer factors of 37535 that divides 37535 without a remainder.

1, 5, 7507

Step-4: Factors of 37549

List of positive integer factors of 37549 that divides 37535 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37535 and 37549. The biggest common factor number is the GCF number.
So the greatest common factor 37535 and 37549 is 1.

Also check out the Least Common Multiple of 37535 and 37549