What is the Greatest Common Factor of 49424 and 49430?

Greatest common factor (GCF) of 49424 and 49430 is 2.

GCF(49424,49430) = 2

We will now calculate the prime factors of 49424 and 49430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49424 and 49430.

How to find the GCF of 49424 and 49430?

We will first find the prime factorization of 49424 and 49430. After we will calculate the factors of 49424 and 49430 and find the biggest common factor number .

Step-1: Prime Factorization of 49424

Prime factors of 49424 are 2, 3089. Prime factorization of 49424 in exponential form is:

49424 = 2⁴ × 3089¹

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 49424

List of positive integer factors of 49424 that divides 49424 without a remainder.

1, 2, 4, 8, 16, 3089, 6178, 12356, 24712

Step-4: Factors of 49430

List of positive integer factors of 49430 that divides 49424 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49424 and 49430. The biggest common factor number is the GCF number.
So the greatest common factor 49424 and 49430 is 2.

Also check out the Least Common Multiple of 49424 and 49430