What is the Greatest Common Factor of 73965 and 73985?

Greatest common factor (GCF) of 73965 and 73985 is 5.

GCF(73965,73985) = 5

We will now calculate the prime factors of 73965 and 73985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73965 and 73985.

How to find the GCF of 73965 and 73985?

We will first find the prime factorization of 73965 and 73985. After we will calculate the factors of 73965 and 73985 and find the biggest common factor number .

Step-1: Prime Factorization of 73965

Prime factors of 73965 are 3, 5, 4931. Prime factorization of 73965 in exponential form is:

73965 = 3¹ × 5¹ × 4931¹

Step-2: Prime Factorization of 73985

Prime factors of 73985 are 5, 14797. Prime factorization of 73985 in exponential form is:

73985 = 5¹ × 14797¹

Step-3: Factors of 73965

List of positive integer factors of 73965 that divides 73965 without a remainder.

1, 3, 5, 15, 4931, 14793, 24655

Step-4: Factors of 73985

List of positive integer factors of 73985 that divides 73965 without a remainder.

1, 5, 14797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73965 and 73985. The biggest common factor number is the GCF number.
So the greatest common factor 73965 and 73985 is 5.

Also check out the Least Common Multiple of 73965 and 73985