What is the Greatest Common Factor of 73797 and 73807?

Greatest common factor (GCF) of 73797 and 73807 is 1.

GCF(73797,73807) = 1

We will now calculate the prime factors of 73797 and 73807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73797 and 73807.

How to find the GCF of 73797 and 73807?

We will first find the prime factorization of 73797 and 73807. After we will calculate the factors of 73797 and 73807 and find the biggest common factor number .

Step-1: Prime Factorization of 73797

Prime factors of 73797 are 3, 17, 1447. Prime factorization of 73797 in exponential form is:

73797 = 3¹ × 17¹ × 1447¹

Step-2: Prime Factorization of 73807

Prime factors of 73807 are 23, 3209. Prime factorization of 73807 in exponential form is:

73807 = 23¹ × 3209¹

Step-3: Factors of 73797

List of positive integer factors of 73797 that divides 73797 without a remainder.

1, 3, 17, 51, 1447, 4341, 24599

Step-4: Factors of 73807

List of positive integer factors of 73807 that divides 73797 without a remainder.

1, 23, 3209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73797 and 73807. The biggest common factor number is the GCF number.
So the greatest common factor 73797 and 73807 is 1.

Also check out the Least Common Multiple of 73797 and 73807