What is the Greatest Common Factor of 42537 and 42553?

Greatest common factor (GCF) of 42537 and 42553 is 1.

GCF(42537,42553) = 1

We will now calculate the prime factors of 42537 and 42553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42537 and 42553.

How to find the GCF of 42537 and 42553?

We will first find the prime factorization of 42537 and 42553. After we will calculate the factors of 42537 and 42553 and find the biggest common factor number .

Step-1: Prime Factorization of 42537

Prime factors of 42537 are 3, 11, 1289. Prime factorization of 42537 in exponential form is:

42537 = 3¹ × 11¹ × 1289¹

Step-2: Prime Factorization of 42553

Prime factors of 42553 are 7, 6079. Prime factorization of 42553 in exponential form is:

42553 = 7¹ × 6079¹

Step-3: Factors of 42537

List of positive integer factors of 42537 that divides 42537 without a remainder.

1, 3, 11, 33, 1289, 3867, 14179

Step-4: Factors of 42553

List of positive integer factors of 42553 that divides 42537 without a remainder.

1, 7, 6079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42537 and 42553. The biggest common factor number is the GCF number.
So the greatest common factor 42537 and 42553 is 1.

Also check out the Least Common Multiple of 42537 and 42553