What is the Greatest Common Factor of 60642 and 60654?

Greatest common factor (GCF) of 60642 and 60654 is 6.

GCF(60642,60654) = 6

We will now calculate the prime factors of 60642 and 60654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60642 and 60654.

How to find the GCF of 60642 and 60654?

We will first find the prime factorization of 60642 and 60654. After we will calculate the factors of 60642 and 60654 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 60654

Prime factors of 60654 are 2, 3, 11, 919. Prime factorization of 60654 in exponential form is:

60654 = 2¹ × 3¹ × 11¹ × 919¹

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 60654

List of positive integer factors of 60654 that divides 60642 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 919, 1838, 2757, 5514, 10109, 20218, 30327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60642 and 60654. The biggest common factor number is the GCF number.
So the greatest common factor 60642 and 60654 is 6.

Also check out the Least Common Multiple of 60642 and 60654