What is the Greatest Common Factor of 60642 and 60648?

Greatest common factor (GCF) of 60642 and 60648 is 6.

GCF(60642,60648) = 6

We will now calculate the prime factors of 60642 and 60648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60642 and 60648.

How to find the GCF of 60642 and 60648?

We will first find the prime factorization of 60642 and 60648. After we will calculate the factors of 60642 and 60648 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 60648

Prime factors of 60648 are 2, 3, 7, 19. Prime factorization of 60648 in exponential form is:

60648 = 2³ × 3¹ × 7¹ × 19²

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 60648

List of positive integer factors of 60648 that divides 60642 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 19, 21, 24, 28, 38, 42, 56, 57, 76, 84, 114, 133, 152, 168, 228, 266, 361, 399, 456, 532, 722, 798, 1064, 1083, 1444, 1596, 2166, 2527, 2888, 3192, 4332, 5054, 7581, 8664, 10108, 15162, 20216, 30324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60642 and 60648. The biggest common factor number is the GCF number.
So the greatest common factor 60642 and 60648 is 6.

Also check out the Least Common Multiple of 60642 and 60648