What is the Greatest Common Factor of 73095 and 73101?

Greatest common factor (GCF) of 73095 and 73101 is 3.

GCF(73095,73101) = 3

We will now calculate the prime factors of 73095 and 73101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73095 and 73101.

How to find the GCF of 73095 and 73101?

We will first find the prime factorization of 73095 and 73101. After we will calculate the factors of 73095 and 73101 and find the biggest common factor number .

Step-1: Prime Factorization of 73095

Prime factors of 73095 are 3, 5, 11, 443. Prime factorization of 73095 in exponential form is:

73095 = 3¹ × 5¹ × 11¹ × 443¹

Step-2: Prime Factorization of 73101

Prime factors of 73101 are 3, 7, 59. Prime factorization of 73101 in exponential form is:

73101 = 3¹ × 7¹ × 59²

Step-3: Factors of 73095

List of positive integer factors of 73095 that divides 73095 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 443, 1329, 2215, 4873, 6645, 14619, 24365

Step-4: Factors of 73101

List of positive integer factors of 73101 that divides 73095 without a remainder.

1, 3, 7, 21, 59, 177, 413, 1239, 3481, 10443, 24367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73095 and 73101. The biggest common factor number is the GCF number.
So the greatest common factor 73095 and 73101 is 3.

Also check out the Least Common Multiple of 73095 and 73101