What is the Greatest Common Factor of 49234 and 49252?

Greatest common factor (GCF) of 49234 and 49252 is 2.

GCF(49234,49252) = 2

We will now calculate the prime factors of 49234 and 49252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49234 and 49252.

How to find the GCF of 49234 and 49252?

We will first find the prime factorization of 49234 and 49252. After we will calculate the factors of 49234 and 49252 and find the biggest common factor number .

Step-1: Prime Factorization of 49234

Prime factors of 49234 are 2, 103, 239. Prime factorization of 49234 in exponential form is:

49234 = 2¹ × 103¹ × 239¹

Step-2: Prime Factorization of 49252

Prime factors of 49252 are 2, 7, 1759. Prime factorization of 49252 in exponential form is:

49252 = 2² × 7¹ × 1759¹

Step-3: Factors of 49234

List of positive integer factors of 49234 that divides 49234 without a remainder.

1, 2, 103, 206, 239, 478, 24617

Step-4: Factors of 49252

List of positive integer factors of 49252 that divides 49234 without a remainder.

1, 2, 4, 7, 14, 28, 1759, 3518, 7036, 12313, 24626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49234 and 49252. The biggest common factor number is the GCF number.
So the greatest common factor 49234 and 49252 is 2.

Also check out the Least Common Multiple of 49234 and 49252