What is the Greatest Common Factor of 42914 and 42926?

Greatest common factor (GCF) of 42914 and 42926 is 2.

GCF(42914,42926) = 2

We will now calculate the prime factors of 42914 and 42926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42914 and 42926.

How to find the GCF of 42914 and 42926?

We will first find the prime factorization of 42914 and 42926. After we will calculate the factors of 42914 and 42926 and find the biggest common factor number .

Step-1: Prime Factorization of 42914

Prime factors of 42914 are 2, 43, 499. Prime factorization of 42914 in exponential form is:

42914 = 2¹ × 43¹ × 499¹

Step-2: Prime Factorization of 42926

Prime factors of 42926 are 2, 13, 127. Prime factorization of 42926 in exponential form is:

42926 = 2¹ × 13² × 127¹

Step-3: Factors of 42914

List of positive integer factors of 42914 that divides 42914 without a remainder.

1, 2, 43, 86, 499, 998, 21457

Step-4: Factors of 42926

List of positive integer factors of 42926 that divides 42914 without a remainder.

1, 2, 13, 26, 127, 169, 254, 338, 1651, 3302, 21463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42914 and 42926. The biggest common factor number is the GCF number.
So the greatest common factor 42914 and 42926 is 2.

Also check out the Least Common Multiple of 42914 and 42926