What is the Greatest Common Factor of 54642 and 54659?

Greatest common factor (GCF) of 54642 and 54659 is 1.

GCF(54642,54659) = 1

We will now calculate the prime factors of 54642 and 54659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54642 and 54659.

How to find the GCF of 54642 and 54659?

We will first find the prime factorization of 54642 and 54659. After we will calculate the factors of 54642 and 54659 and find the biggest common factor number .

Step-1: Prime Factorization of 54642

Prime factors of 54642 are 2, 3, 7, 1301. Prime factorization of 54642 in exponential form is:

54642 = 2¹ × 3¹ × 7¹ × 1301¹

Step-2: Prime Factorization of 54659

Prime factors of 54659 are 11, 4969. Prime factorization of 54659 in exponential form is:

54659 = 11¹ × 4969¹

Step-3: Factors of 54642

List of positive integer factors of 54642 that divides 54642 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1301, 2602, 3903, 7806, 9107, 18214, 27321

Step-4: Factors of 54659

List of positive integer factors of 54659 that divides 54642 without a remainder.

1, 11, 4969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54642 and 54659. The biggest common factor number is the GCF number.
So the greatest common factor 54642 and 54659 is 1.

Also check out the Least Common Multiple of 54642 and 54659