What is the Greatest Common Factor of 42254 and 42260?

Greatest common factor (GCF) of 42254 and 42260 is 2.

GCF(42254,42260) = 2

We will now calculate the prime factors of 42254 and 42260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42254 and 42260.

How to find the GCF of 42254 and 42260?

We will first find the prime factorization of 42254 and 42260. After we will calculate the factors of 42254 and 42260 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 42260

Prime factors of 42260 are 2, 5, 2113. Prime factorization of 42260 in exponential form is:

42260 = 2² × 5¹ × 2113¹

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 42260

List of positive integer factors of 42260 that divides 42254 without a remainder.

1, 2, 4, 5, 10, 20, 2113, 4226, 8452, 10565, 21130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42254 and 42260. The biggest common factor number is the GCF number.
So the greatest common factor 42254 and 42260 is 2.

Also check out the Least Common Multiple of 42254 and 42260