What is the Greatest Common Factor of 53938 and 53944?

Greatest common factor (GCF) of 53938 and 53944 is 2.

GCF(53938,53944) = 2

We will now calculate the prime factors of 53938 and 53944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53938 and 53944.

How to find the GCF of 53938 and 53944?

We will first find the prime factorization of 53938 and 53944. After we will calculate the factors of 53938 and 53944 and find the biggest common factor number .

Step-1: Prime Factorization of 53938

Prime factors of 53938 are 2, 149, 181. Prime factorization of 53938 in exponential form is:

53938 = 2¹ × 149¹ × 181¹

Step-2: 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-3: Factors of 53938

List of positive integer factors of 53938 that divides 53938 without a remainder.

1, 2, 149, 181, 298, 362, 26969

Step-4: Factors of 53944

List of positive integer factors of 53944 that divides 53938 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53938 and 53944. The biggest common factor number is the GCF number.
So the greatest common factor 53938 and 53944 is 2.

Also check out the Least Common Multiple of 53938 and 53944