What is the Greatest Common Factor of 49294 and 49314?

Greatest common factor (GCF) of 49294 and 49314 is 2.

GCF(49294,49314) = 2

We will now calculate the prime factors of 49294 and 49314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49294 and 49314.

How to find the GCF of 49294 and 49314?

We will first find the prime factorization of 49294 and 49314. After we will calculate the factors of 49294 and 49314 and find the biggest common factor number .

Step-1: Prime Factorization of 49294

Prime factors of 49294 are 2, 7, 503. Prime factorization of 49294 in exponential form is:

49294 = 2¹ × 7² × 503¹

Step-2: Prime Factorization of 49314

Prime factors of 49314 are 2, 3, 8219. Prime factorization of 49314 in exponential form is:

49314 = 2¹ × 3¹ × 8219¹

Step-3: Factors of 49294

List of positive integer factors of 49294 that divides 49294 without a remainder.

1, 2, 7, 14, 49, 98, 503, 1006, 3521, 7042, 24647

Step-4: Factors of 49314

List of positive integer factors of 49314 that divides 49294 without a remainder.

1, 2, 3, 6, 8219, 16438, 24657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49294 and 49314. The biggest common factor number is the GCF number.
So the greatest common factor 49294 and 49314 is 2.

Also check out the Least Common Multiple of 49294 and 49314