What is the Greatest Common Factor of 42378 and 42392?

Greatest common factor (GCF) of 42378 and 42392 is 14.

GCF(42378,42392) = 14

We will now calculate the prime factors of 42378 and 42392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42378 and 42392.

How to find the GCF of 42378 and 42392?

We will first find the prime factorization of 42378 and 42392. After we will calculate the factors of 42378 and 42392 and find the biggest common factor number .

Step-1: Prime Factorization of 42378

Prime factors of 42378 are 2, 3, 7, 1009. Prime factorization of 42378 in exponential form is:

42378 = 2¹ × 3¹ × 7¹ × 1009¹

Step-2: Prime Factorization of 42392

Prime factors of 42392 are 2, 7, 757. Prime factorization of 42392 in exponential form is:

42392 = 2³ × 7¹ × 757¹

Step-3: Factors of 42378

List of positive integer factors of 42378 that divides 42378 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1009, 2018, 3027, 6054, 7063, 14126, 21189

Step-4: Factors of 42392

List of positive integer factors of 42392 that divides 42378 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 757, 1514, 3028, 5299, 6056, 10598, 21196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42378 and 42392. The biggest common factor number is the GCF number.
So the greatest common factor 42378 and 42392 is 14.

Also check out the Least Common Multiple of 42378 and 42392