What is the Greatest Common Factor of 49358 and 49372?

Greatest common factor (GCF) of 49358 and 49372 is 2.

GCF(49358,49372) = 2

We will now calculate the prime factors of 49358 and 49372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49358 and 49372.

How to find the GCF of 49358 and 49372?

We will first find the prime factorization of 49358 and 49372. After we will calculate the factors of 49358 and 49372 and find the biggest common factor number .

Step-1: Prime Factorization of 49358

Prime factors of 49358 are 2, 23, 29, 37. Prime factorization of 49358 in exponential form is:

49358 = 2¹ × 23¹ × 29¹ × 37¹

Step-2: Prime Factorization of 49372

Prime factors of 49372 are 2, 12343. Prime factorization of 49372 in exponential form is:

49372 = 2² × 12343¹

Step-3: Factors of 49358

List of positive integer factors of 49358 that divides 49358 without a remainder.

1, 2, 23, 29, 37, 46, 58, 74, 667, 851, 1073, 1334, 1702, 2146, 24679

Step-4: Factors of 49372

List of positive integer factors of 49372 that divides 49358 without a remainder.

1, 2, 4, 12343, 24686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49358 and 49372. The biggest common factor number is the GCF number.
So the greatest common factor 49358 and 49372 is 2.

Also check out the Least Common Multiple of 49358 and 49372