What is the Greatest Common Factor of 73904 and 73922?

Greatest common factor (GCF) of 73904 and 73922 is 2.

GCF(73904,73922) = 2

We will now calculate the prime factors of 73904 and 73922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73904 and 73922.

How to find the GCF of 73904 and 73922?

We will first find the prime factorization of 73904 and 73922. After we will calculate the factors of 73904 and 73922 and find the biggest common factor number .

Step-1: Prime Factorization of 73904

Prime factors of 73904 are 2, 31, 149. Prime factorization of 73904 in exponential form is:

73904 = 2⁴ × 31¹ × 149¹

Step-2: Prime Factorization of 73922

Prime factors of 73922 are 2, 23, 1607. Prime factorization of 73922 in exponential form is:

73922 = 2¹ × 23¹ × 1607¹

Step-3: Factors of 73904

List of positive integer factors of 73904 that divides 73904 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 149, 248, 298, 496, 596, 1192, 2384, 4619, 9238, 18476, 36952

Step-4: Factors of 73922

List of positive integer factors of 73922 that divides 73904 without a remainder.

1, 2, 23, 46, 1607, 3214, 36961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73904 and 73922. The biggest common factor number is the GCF number.
So the greatest common factor 73904 and 73922 is 2.

Also check out the Least Common Multiple of 73904 and 73922