What is the Greatest Common Factor of 53938 and 53950?

Greatest common factor (GCF) of 53938 and 53950 is 2.

GCF(53938,53950) = 2

We will now calculate the prime factors of 53938 and 53950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53938 and 53950.

How to find the GCF of 53938 and 53950?

We will first find the prime factorization of 53938 and 53950. After we will calculate the factors of 53938 and 53950 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 53950

Prime factors of 53950 are 2, 5, 13, 83. Prime factorization of 53950 in exponential form is:

53950 = 2¹ × 5² × 13¹ × 83¹

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 53950

List of positive integer factors of 53950 that divides 53938 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 83, 130, 166, 325, 415, 650, 830, 1079, 2075, 2158, 4150, 5395, 10790, 26975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53938 and 53950. The biggest common factor number is the GCF number.
So the greatest common factor 53938 and 53950 is 2.

Also check out the Least Common Multiple of 53938 and 53950