What is the Greatest Common Factor of 42668 and 42672?

Greatest common factor (GCF) of 42668 and 42672 is 4.

GCF(42668,42672) = 4

We will now calculate the prime factors of 42668 and 42672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42668 and 42672.

How to find the GCF of 42668 and 42672?

We will first find the prime factorization of 42668 and 42672. After we will calculate the factors of 42668 and 42672 and find the biggest common factor number .

Step-1: Prime Factorization of 42668

Prime factors of 42668 are 2, 10667. Prime factorization of 42668 in exponential form is:

42668 = 2² × 10667¹

Step-2: Prime Factorization of 42672

Prime factors of 42672 are 2, 3, 7, 127. Prime factorization of 42672 in exponential form is:

42672 = 2⁴ × 3¹ × 7¹ × 127¹

Step-3: Factors of 42668

List of positive integer factors of 42668 that divides 42668 without a remainder.

1, 2, 4, 10667, 21334

Step-4: Factors of 42672

List of positive integer factors of 42672 that divides 42668 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 127, 168, 254, 336, 381, 508, 762, 889, 1016, 1524, 1778, 2032, 2667, 3048, 3556, 5334, 6096, 7112, 10668, 14224, 21336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42668 and 42672. The biggest common factor number is the GCF number.
So the greatest common factor 42668 and 42672 is 4.

Also check out the Least Common Multiple of 42668 and 42672