What is the Greatest Common Factor of 49288 and 49294?

Greatest common factor (GCF) of 49288 and 49294 is 2.

GCF(49288,49294) = 2

We will now calculate the prime factors of 49288 and 49294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49288 and 49294.

How to find the GCF of 49288 and 49294?

We will first find the prime factorization of 49288 and 49294. After we will calculate the factors of 49288 and 49294 and find the biggest common factor number .

Step-1: Prime Factorization of 49288

Prime factors of 49288 are 2, 61, 101. Prime factorization of 49288 in exponential form is:

49288 = 2³ × 61¹ × 101¹

Step-2: 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-3: Factors of 49288

List of positive integer factors of 49288 that divides 49288 without a remainder.

1, 2, 4, 8, 61, 101, 122, 202, 244, 404, 488, 808, 6161, 12322, 24644

Step-4: Factors of 49294

List of positive integer factors of 49294 that divides 49288 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49288 and 49294. The biggest common factor number is the GCF number.
So the greatest common factor 49288 and 49294 is 2.

Also check out the Least Common Multiple of 49288 and 49294