What is the Greatest Common Factor of 60642 and 60656?

Greatest common factor (GCF) of 60642 and 60656 is 2.

GCF(60642,60656) = 2

We will now calculate the prime factors of 60642 and 60656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60642 and 60656.

How to find the GCF of 60642 and 60656?

We will first find the prime factorization of 60642 and 60656. After we will calculate the factors of 60642 and 60656 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 60656

Prime factors of 60656 are 2, 17, 223. Prime factorization of 60656 in exponential form is:

60656 = 2⁴ × 17¹ × 223¹

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 60656

List of positive integer factors of 60656 that divides 60642 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 223, 272, 446, 892, 1784, 3568, 3791, 7582, 15164, 30328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60642 and 60656. The biggest common factor number is the GCF number.
So the greatest common factor 60642 and 60656 is 2.

Also check out the Least Common Multiple of 60642 and 60656