What is the Greatest Common Factor of 42868 and 42882?

Greatest common factor (GCF) of 42868 and 42882 is 14.

GCF(42868,42882) = 14

We will now calculate the prime factors of 42868 and 42882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42868 and 42882.

How to find the GCF of 42868 and 42882?

We will first find the prime factorization of 42868 and 42882. After we will calculate the factors of 42868 and 42882 and find the biggest common factor number .

Step-1: Prime Factorization of 42868

Prime factors of 42868 are 2, 7, 1531. Prime factorization of 42868 in exponential form is:

42868 = 2² × 7¹ × 1531¹

Step-2: Prime Factorization of 42882

Prime factors of 42882 are 2, 3, 7, 1021. Prime factorization of 42882 in exponential form is:

42882 = 2¹ × 3¹ × 7¹ × 1021¹

Step-3: Factors of 42868

List of positive integer factors of 42868 that divides 42868 without a remainder.

1, 2, 4, 7, 14, 28, 1531, 3062, 6124, 10717, 21434

Step-4: Factors of 42882

List of positive integer factors of 42882 that divides 42868 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1021, 2042, 3063, 6126, 7147, 14294, 21441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42868 and 42882. The biggest common factor number is the GCF number.
So the greatest common factor 42868 and 42882 is 14.

Also check out the Least Common Multiple of 42868 and 42882