What is the Greatest Common Factor of 60636 and 60642?

Greatest common factor (GCF) of 60636 and 60642 is 6.

GCF(60636,60642) = 6

We will now calculate the prime factors of 60636 and 60642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60636 and 60642.

How to find the GCF of 60636 and 60642?

We will first find the prime factorization of 60636 and 60642. After we will calculate the factors of 60636 and 60642 and find the biggest common factor number .

Step-1: Prime Factorization of 60636

Prime factors of 60636 are 2, 3, 31, 163. Prime factorization of 60636 in exponential form is:

60636 = 2² × 3¹ × 31¹ × 163¹

Step-2: 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-3: Factors of 60636

List of positive integer factors of 60636 that divides 60636 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 163, 186, 326, 372, 489, 652, 978, 1956, 5053, 10106, 15159, 20212, 30318

Step-4: Factors of 60642

List of positive integer factors of 60642 that divides 60636 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60636 and 60642. The biggest common factor number is the GCF number.
So the greatest common factor 60636 and 60642 is 6.

Also check out the Least Common Multiple of 60636 and 60642