What is the Greatest Common Factor of 73908 and 73927?

Greatest common factor (GCF) of 73908 and 73927 is 1.

GCF(73908,73927) = 1

We will now calculate the prime factors of 73908 and 73927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73908 and 73927.

How to find the GCF of 73908 and 73927?

We will first find the prime factorization of 73908 and 73927. After we will calculate the factors of 73908 and 73927 and find the biggest common factor number .

Step-1: Prime Factorization of 73908

Prime factors of 73908 are 2, 3, 2053. Prime factorization of 73908 in exponential form is:

73908 = 2² × 3² × 2053¹

Step-2: Prime Factorization of 73927

Prime factors of 73927 are 7, 59, 179. Prime factorization of 73927 in exponential form is:

73927 = 7¹ × 59¹ × 179¹

Step-3: Factors of 73908

List of positive integer factors of 73908 that divides 73908 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2053, 4106, 6159, 8212, 12318, 18477, 24636, 36954

Step-4: Factors of 73927

List of positive integer factors of 73927 that divides 73908 without a remainder.

1, 7, 59, 179, 413, 1253, 10561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73908 and 73927. The biggest common factor number is the GCF number.
So the greatest common factor 73908 and 73927 is 1.

Also check out the Least Common Multiple of 73908 and 73927