What is the Greatest Common Factor of 49258 and 49269?

Greatest common factor (GCF) of 49258 and 49269 is 11.

GCF(49258,49269) = 11

We will now calculate the prime factors of 49258 and 49269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49258 and 49269.

How to find the GCF of 49258 and 49269?

We will first find the prime factorization of 49258 and 49269. After we will calculate the factors of 49258 and 49269 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 49269

Prime factors of 49269 are 3, 11, 1493. Prime factorization of 49269 in exponential form is:

49269 = 3¹ × 11¹ × 1493¹

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 49269

List of positive integer factors of 49269 that divides 49258 without a remainder.

1, 3, 11, 33, 1493, 4479, 16423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49258 and 49269. The biggest common factor number is the GCF number.
So the greatest common factor 49258 and 49269 is 11.

Also check out the Least Common Multiple of 49258 and 49269