What is the Greatest Common Factor of 73918 and 73934?

Greatest common factor (GCF) of 73918 and 73934 is 2.

GCF(73918,73934) = 2

We will now calculate the prime factors of 73918 and 73934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73918 and 73934.

How to find the GCF of 73918 and 73934?

We will first find the prime factorization of 73918 and 73934. After we will calculate the factors of 73918 and 73934 and find the biggest common factor number .

Step-1: Prime Factorization of 73918

Prime factors of 73918 are 2, 13, 2843. Prime factorization of 73918 in exponential form is:

73918 = 2¹ × 13¹ × 2843¹

Step-2: Prime Factorization of 73934

Prime factors of 73934 are 2, 7, 5281. Prime factorization of 73934 in exponential form is:

73934 = 2¹ × 7¹ × 5281¹

Step-3: Factors of 73918

List of positive integer factors of 73918 that divides 73918 without a remainder.

1, 2, 13, 26, 2843, 5686, 36959

Step-4: Factors of 73934

List of positive integer factors of 73934 that divides 73918 without a remainder.

1, 2, 7, 14, 5281, 10562, 36967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73918 and 73934. The biggest common factor number is the GCF number.
So the greatest common factor 73918 and 73934 is 2.

Also check out the Least Common Multiple of 73918 and 73934