What is the Greatest Common Factor of 42660 and 42678?

Greatest common factor (GCF) of 42660 and 42678 is 18.

GCF(42660,42678) = 18

We will now calculate the prime factors of 42660 and 42678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42660 and 42678.

How to find the GCF of 42660 and 42678?

We will first find the prime factorization of 42660 and 42678. After we will calculate the factors of 42660 and 42678 and find the biggest common factor number .

Step-1: Prime Factorization of 42660

Prime factors of 42660 are 2, 3, 5, 79. Prime factorization of 42660 in exponential form is:

42660 = 2² × 3³ × 5¹ × 79¹

Step-2: Prime Factorization of 42678

Prime factors of 42678 are 2, 3, 2371. Prime factorization of 42678 in exponential form is:

42678 = 2¹ × 3² × 2371¹

Step-3: Factors of 42660

List of positive integer factors of 42660 that divides 42660 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 79, 90, 108, 135, 158, 180, 237, 270, 316, 395, 474, 540, 711, 790, 948, 1185, 1422, 1580, 2133, 2370, 2844, 3555, 4266, 4740, 7110, 8532, 10665, 14220, 21330

Step-4: Factors of 42678

List of positive integer factors of 42678 that divides 42660 without a remainder.

1, 2, 3, 6, 9, 18, 2371, 4742, 7113, 14226, 21339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42660 and 42678. The biggest common factor number is the GCF number.
So the greatest common factor 42660 and 42678 is 18.

Also check out the Least Common Multiple of 42660 and 42678