What is the Greatest Common Factor of 42254 and 42261?

Greatest common factor (GCF) of 42254 and 42261 is 1.

GCF(42254,42261) = 1

We will now calculate the prime factors of 42254 and 42261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42254 and 42261.

How to find the GCF of 42254 and 42261?

We will first find the prime factorization of 42254 and 42261. After we will calculate the factors of 42254 and 42261 and find the biggest common factor number .

Step-1: Prime Factorization of 42254

Prime factors of 42254 are 2, 37, 571. Prime factorization of 42254 in exponential form is:

42254 = 2¹ × 37¹ × 571¹

Step-2: Prime Factorization of 42261

Prime factors of 42261 are 3, 14087. Prime factorization of 42261 in exponential form is:

42261 = 3¹ × 14087¹

Step-3: Factors of 42254

List of positive integer factors of 42254 that divides 42254 without a remainder.

1, 2, 37, 74, 571, 1142, 21127

Step-4: Factors of 42261

List of positive integer factors of 42261 that divides 42254 without a remainder.

1, 3, 14087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42254 and 42261. The biggest common factor number is the GCF number.
So the greatest common factor 42254 and 42261 is 1.

Also check out the Least Common Multiple of 42254 and 42261