What is the Greatest Common Factor of 42654 and 42660?

Greatest common factor (GCF) of 42654 and 42660 is 6.

GCF(42654,42660) = 6

We will now calculate the prime factors of 42654 and 42660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42654 and 42660.

How to find the GCF of 42654 and 42660?

We will first find the prime factorization of 42654 and 42660. After we will calculate the factors of 42654 and 42660 and find the biggest common factor number .

Step-1: Prime Factorization of 42654

Prime factors of 42654 are 2, 3, 7109. Prime factorization of 42654 in exponential form is:

42654 = 2¹ × 3¹ × 7109¹

Step-2: 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-3: Factors of 42654

List of positive integer factors of 42654 that divides 42654 without a remainder.

1, 2, 3, 6, 7109, 14218, 21327

Step-4: Factors of 42660

List of positive integer factors of 42660 that divides 42654 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42654 and 42660. The biggest common factor number is the GCF number.
So the greatest common factor 42654 and 42660 is 6.

Also check out the Least Common Multiple of 42654 and 42660