What is the Greatest Common Factor of 49238 and 49252?

Greatest common factor (GCF) of 49238 and 49252 is 14.

GCF(49238,49252) = 14

We will now calculate the prime factors of 49238 and 49252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49238 and 49252.

How to find the GCF of 49238 and 49252?

We will first find the prime factorization of 49238 and 49252. After we will calculate the factors of 49238 and 49252 and find the biggest common factor number .

Step-1: Prime Factorization of 49238

Prime factors of 49238 are 2, 7, 3517. Prime factorization of 49238 in exponential form is:

49238 = 2¹ × 7¹ × 3517¹

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 49238

List of positive integer factors of 49238 that divides 49238 without a remainder.

1, 2, 7, 14, 3517, 7034, 24619

Step-4: Factors of 49252

List of positive integer factors of 49252 that divides 49238 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 49238 and 49252. The biggest common factor number is the GCF number.
So the greatest common factor 49238 and 49252 is 14.

Also check out the Least Common Multiple of 49238 and 49252