What is the Greatest Common Factor of 49258 and 49278?

Greatest common factor (GCF) of 49258 and 49278 is 2.

GCF(49258,49278) = 2

We will now calculate the prime factors of 49258 and 49278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49258 and 49278.

How to find the GCF of 49258 and 49278?

We will first find the prime factorization of 49258 and 49278. After we will calculate the factors of 49258 and 49278 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 49278

Prime factors of 49278 are 2, 3, 43, 191. Prime factorization of 49278 in exponential form is:

49278 = 2¹ × 3¹ × 43¹ × 191¹

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 49278

List of positive integer factors of 49278 that divides 49258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 191, 258, 382, 573, 1146, 8213, 16426, 24639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49258 and 49278. The biggest common factor number is the GCF number.
So the greatest common factor 49258 and 49278 is 2.

Also check out the Least Common Multiple of 49258 and 49278