What is the Greatest Common Factor of 49936 and 49954?

Greatest common factor (GCF) of 49936 and 49954 is 2.

GCF(49936,49954) = 2

We will now calculate the prime factors of 49936 and 49954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49936 and 49954.

How to find the GCF of 49936 and 49954?

We will first find the prime factorization of 49936 and 49954. After we will calculate the factors of 49936 and 49954 and find the biggest common factor number .

Step-1: Prime Factorization of 49936

Prime factors of 49936 are 2, 3121. Prime factorization of 49936 in exponential form is:

49936 = 2⁴ × 3121¹

Step-2: Prime Factorization of 49954

Prime factors of 49954 are 2, 24977. Prime factorization of 49954 in exponential form is:

49954 = 2¹ × 24977¹

Step-3: Factors of 49936

List of positive integer factors of 49936 that divides 49936 without a remainder.

1, 2, 4, 8, 16, 3121, 6242, 12484, 24968

Step-4: Factors of 49954

List of positive integer factors of 49954 that divides 49936 without a remainder.

1, 2, 24977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49936 and 49954. The biggest common factor number is the GCF number.
So the greatest common factor 49936 and 49954 is 2.

Also check out the Least Common Multiple of 49936 and 49954