What is the Greatest Common Factor of 57642 and 57649?

Greatest common factor (GCF) of 57642 and 57649 is 1.

GCF(57642,57649) = 1

We will now calculate the prime factors of 57642 and 57649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57642 and 57649.

How to find the GCF of 57642 and 57649?

We will first find the prime factorization of 57642 and 57649. After we will calculate the factors of 57642 and 57649 and find the biggest common factor number .

Step-1: Prime Factorization of 57642

Prime factors of 57642 are 2, 3, 13, 739. Prime factorization of 57642 in exponential form is:

57642 = 2¹ × 3¹ × 13¹ × 739¹

Step-2: Prime Factorization of 57649

Prime factors of 57649 are 57649. Prime factorization of 57649 in exponential form is:

57649 = 57649¹

Step-3: Factors of 57642

List of positive integer factors of 57642 that divides 57642 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 739, 1478, 2217, 4434, 9607, 19214, 28821

Step-4: Factors of 57649

List of positive integer factors of 57649 that divides 57642 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57642 and 57649. The biggest common factor number is the GCF number.
So the greatest common factor 57642 and 57649 is 1.

Also check out the Least Common Multiple of 57642 and 57649