What is the Greatest Common Factor of 60642 and 60659?

Greatest common factor (GCF) of 60642 and 60659 is 1.

GCF(60642,60659) = 1

We will now calculate the prime factors of 60642 and 60659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60642 and 60659.

How to find the GCF of 60642 and 60659?

We will first find the prime factorization of 60642 and 60659. After we will calculate the factors of 60642 and 60659 and find the biggest common factor number .

Step-1: Prime Factorization of 60642

Prime factors of 60642 are 2, 3, 1123. Prime factorization of 60642 in exponential form is:

60642 = 2¹ × 3³ × 1123¹

Step-2: Prime Factorization of 60659

Prime factors of 60659 are 60659. Prime factorization of 60659 in exponential form is:

60659 = 60659¹

Step-3: Factors of 60642

List of positive integer factors of 60642 that divides 60642 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1123, 2246, 3369, 6738, 10107, 20214, 30321

Step-4: Factors of 60659

List of positive integer factors of 60659 that divides 60642 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60642 and 60659. The biggest common factor number is the GCF number.
So the greatest common factor 60642 and 60659 is 1.

Also check out the Least Common Multiple of 60642 and 60659