What is the Greatest Common Factor of 49418 and 49430?

Greatest common factor (GCF) of 49418 and 49430 is 2.

GCF(49418,49430) = 2

We will now calculate the prime factors of 49418 and 49430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49418 and 49430.

How to find the GCF of 49418 and 49430?

We will first find the prime factorization of 49418 and 49430. After we will calculate the factors of 49418 and 49430 and find the biggest common factor number .

Step-1: Prime Factorization of 49418

Prime factors of 49418 are 2, 24709. Prime factorization of 49418 in exponential form is:

49418 = 2¹ × 24709¹

Step-2: Prime Factorization of 49430

Prime factors of 49430 are 2, 5, 4943. Prime factorization of 49430 in exponential form is:

49430 = 2¹ × 5¹ × 4943¹

Step-3: Factors of 49418

List of positive integer factors of 49418 that divides 49418 without a remainder.

1, 2, 24709

Step-4: Factors of 49430

List of positive integer factors of 49430 that divides 49418 without a remainder.

1, 2, 5, 10, 4943, 9886, 24715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49418 and 49430. The biggest common factor number is the GCF number.
So the greatest common factor 49418 and 49430 is 2.

Also check out the Least Common Multiple of 49418 and 49430