What is the Greatest Common Factor of 72097 and 72105?

Greatest common factor (GCF) of 72097 and 72105 is 1.

GCF(72097,72105) = 1

We will now calculate the prime factors of 72097 and 72105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72097 and 72105.

How to find the GCF of 72097 and 72105?

We will first find the prime factorization of 72097 and 72105. After we will calculate the factors of 72097 and 72105 and find the biggest common factor number .

Step-1: Prime Factorization of 72097

Prime factors of 72097 are 17, 4241. Prime factorization of 72097 in exponential form is:

72097 = 17¹ × 4241¹

Step-2: Prime Factorization of 72105

Prime factors of 72105 are 3, 5, 11, 19, 23. Prime factorization of 72105 in exponential form is:

72105 = 3¹ × 5¹ × 11¹ × 19¹ × 23¹

Step-3: Factors of 72097

List of positive integer factors of 72097 that divides 72097 without a remainder.

1, 17, 4241

Step-4: Factors of 72105

List of positive integer factors of 72105 that divides 72097 without a remainder.

1, 3, 5, 11, 15, 19, 23, 33, 55, 57, 69, 95, 115, 165, 209, 253, 285, 345, 437, 627, 759, 1045, 1265, 1311, 2185, 3135, 3795, 4807, 6555, 14421, 24035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72097 and 72105. The biggest common factor number is the GCF number.
So the greatest common factor 72097 and 72105 is 1.

Also check out the Least Common Multiple of 72097 and 72105