What is the Greatest Common Factor of 73913 and 73929?

Greatest common factor (GCF) of 73913 and 73929 is 1.

GCF(73913,73929) = 1

We will now calculate the prime factors of 73913 and 73929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73913 and 73929.

How to find the GCF of 73913 and 73929?

We will first find the prime factorization of 73913 and 73929. After we will calculate the factors of 73913 and 73929 and find the biggest common factor number .

Step-1: Prime Factorization of 73913

Prime factors of 73913 are 7, 10559. Prime factorization of 73913 in exponential form is:

73913 = 7¹ × 10559¹

Step-2: Prime Factorization of 73929

Prime factors of 73929 are 3, 19, 1297. Prime factorization of 73929 in exponential form is:

73929 = 3¹ × 19¹ × 1297¹

Step-3: Factors of 73913

List of positive integer factors of 73913 that divides 73913 without a remainder.

1, 7, 10559

Step-4: Factors of 73929

List of positive integer factors of 73929 that divides 73913 without a remainder.

1, 3, 19, 57, 1297, 3891, 24643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73913 and 73929. The biggest common factor number is the GCF number.
So the greatest common factor 73913 and 73929 is 1.

Also check out the Least Common Multiple of 73913 and 73929