What is the Greatest Common Factor of 42649 and 42657?

Greatest common factor (GCF) of 42649 and 42657 is 1.

GCF(42649,42657) = 1

We will now calculate the prime factors of 42649 and 42657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42649 and 42657.

How to find the GCF of 42649 and 42657?

We will first find the prime factorization of 42649 and 42657. After we will calculate the factors of 42649 and 42657 and find the biggest common factor number .

Step-1: Prime Factorization of 42649

Prime factors of 42649 are 42649. Prime factorization of 42649 in exponential form is:

42649 = 42649¹

Step-2: Prime Factorization of 42657

Prime factors of 42657 are 3, 59, 241. Prime factorization of 42657 in exponential form is:

42657 = 3¹ × 59¹ × 241¹

Step-3: Factors of 42649

List of positive integer factors of 42649 that divides 42649 without a remainder.

Step-4: Factors of 42657

List of positive integer factors of 42657 that divides 42649 without a remainder.

1, 3, 59, 177, 241, 723, 14219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42649 and 42657. The biggest common factor number is the GCF number.
So the greatest common factor 42649 and 42657 is 1.

Also check out the Least Common Multiple of 42649 and 42657