What is the Greatest Common Factor of 42886 and 42902?

Greatest common factor (GCF) of 42886 and 42902 is 2.

GCF(42886,42902) = 2

We will now calculate the prime factors of 42886 and 42902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42886 and 42902.

How to find the GCF of 42886 and 42902?

We will first find the prime factorization of 42886 and 42902. After we will calculate the factors of 42886 and 42902 and find the biggest common factor number .

Step-1: Prime Factorization of 42886

Prime factors of 42886 are 2, 41, 523. Prime factorization of 42886 in exponential form is:

42886 = 2¹ × 41¹ × 523¹

Step-2: Prime Factorization of 42902

Prime factors of 42902 are 2, 19, 1129. Prime factorization of 42902 in exponential form is:

42902 = 2¹ × 19¹ × 1129¹

Step-3: Factors of 42886

List of positive integer factors of 42886 that divides 42886 without a remainder.

1, 2, 41, 82, 523, 1046, 21443

Step-4: Factors of 42902

List of positive integer factors of 42902 that divides 42886 without a remainder.

1, 2, 19, 38, 1129, 2258, 21451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42886 and 42902. The biggest common factor number is the GCF number.
So the greatest common factor 42886 and 42902 is 2.

Also check out the Least Common Multiple of 42886 and 42902