What is the Greatest Common Factor of 49438 and 49457?

Greatest common factor (GCF) of 49438 and 49457 is 19.

GCF(49438,49457) = 19

We will now calculate the prime factors of 49438 and 49457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49438 and 49457.

How to find the GCF of 49438 and 49457?

We will first find the prime factorization of 49438 and 49457. After we will calculate the factors of 49438 and 49457 and find the biggest common factor number .

Step-1: Prime Factorization of 49438

Prime factors of 49438 are 2, 19, 1301. Prime factorization of 49438 in exponential form is:

49438 = 2¹ × 19¹ × 1301¹

Step-2: Prime Factorization of 49457

Prime factors of 49457 are 19, 137. Prime factorization of 49457 in exponential form is:

49457 = 19² × 137¹

Step-3: Factors of 49438

List of positive integer factors of 49438 that divides 49438 without a remainder.

1, 2, 19, 38, 1301, 2602, 24719

Step-4: Factors of 49457

List of positive integer factors of 49457 that divides 49438 without a remainder.

1, 19, 137, 361, 2603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49438 and 49457. The biggest common factor number is the GCF number.
So the greatest common factor 49438 and 49457 is 19.

Also check out the Least Common Multiple of 49438 and 49457