What is the Greatest Common Factor of 49258 and 49274?

Greatest common factor (GCF) of 49258 and 49274 is 2.

GCF(49258,49274) = 2

We will now calculate the prime factors of 49258 and 49274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49258 and 49274.

How to find the GCF of 49258 and 49274?

We will first find the prime factorization of 49258 and 49274. After we will calculate the factors of 49258 and 49274 and find the biggest common factor number .

Step-1: Prime Factorization of 49258

Prime factors of 49258 are 2, 11, 2239. Prime factorization of 49258 in exponential form is:

49258 = 2¹ × 11¹ × 2239¹

Step-2: Prime Factorization of 49274

Prime factors of 49274 are 2, 71, 347. Prime factorization of 49274 in exponential form is:

49274 = 2¹ × 71¹ × 347¹

Step-3: Factors of 49258

List of positive integer factors of 49258 that divides 49258 without a remainder.

1, 2, 11, 22, 2239, 4478, 24629

Step-4: Factors of 49274

List of positive integer factors of 49274 that divides 49258 without a remainder.

1, 2, 71, 142, 347, 694, 24637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49258 and 49274. The biggest common factor number is the GCF number.
So the greatest common factor 49258 and 49274 is 2.

Also check out the Least Common Multiple of 49258 and 49274