What is the Greatest Common Factor of 37539 and 37553?

Greatest common factor (GCF) of 37539 and 37553 is 1.

GCF(37539,37553) = 1

We will now calculate the prime factors of 37539 and 37553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37539 and 37553.

How to find the GCF of 37539 and 37553?

We will first find the prime factorization of 37539 and 37553. After we will calculate the factors of 37539 and 37553 and find the biggest common factor number .

Step-1: Prime Factorization of 37539

Prime factors of 37539 are 3, 43, 97. Prime factorization of 37539 in exponential form is:

37539 = 3² × 43¹ × 97¹

Step-2: Prime Factorization of 37553

Prime factors of 37553 are 17, 47. Prime factorization of 37553 in exponential form is:

37553 = 17¹ × 47²

Step-3: Factors of 37539

List of positive integer factors of 37539 that divides 37539 without a remainder.

1, 3, 9, 43, 97, 129, 291, 387, 873, 4171, 12513

Step-4: Factors of 37553

List of positive integer factors of 37553 that divides 37539 without a remainder.

1, 17, 47, 799, 2209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37539 and 37553. The biggest common factor number is the GCF number.
So the greatest common factor 37539 and 37553 is 1.

Also check out the Least Common Multiple of 37539 and 37553