What is the Greatest Common Factor of 53944 and 53954?

Greatest common factor (GCF) of 53944 and 53954 is 2.

GCF(53944,53954) = 2

We will now calculate the prime factors of 53944 and 53954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53944 and 53954.

How to find the GCF of 53944 and 53954?

We will first find the prime factorization of 53944 and 53954. After we will calculate the factors of 53944 and 53954 and find the biggest common factor number .

Step-1: Prime Factorization of 53944

Prime factors of 53944 are 2, 11, 613. Prime factorization of 53944 in exponential form is:

53944 = 2³ × 11¹ × 613¹

Step-2: Prime Factorization of 53954

Prime factors of 53954 are 2, 53, 509. Prime factorization of 53954 in exponential form is:

53954 = 2¹ × 53¹ × 509¹

Step-3: Factors of 53944

List of positive integer factors of 53944 that divides 53944 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 613, 1226, 2452, 4904, 6743, 13486, 26972

Step-4: Factors of 53954

List of positive integer factors of 53954 that divides 53944 without a remainder.

1, 2, 53, 106, 509, 1018, 26977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53944 and 53954. The biggest common factor number is the GCF number.
So the greatest common factor 53944 and 53954 is 2.

Also check out the Least Common Multiple of 53944 and 53954