What is the Greatest Common Factor of 73674 and 73687?

Greatest common factor (GCF) of 73674 and 73687 is 1.

GCF(73674,73687) = 1

We will now calculate the prime factors of 73674 and 73687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73674 and 73687.

How to find the GCF of 73674 and 73687?

We will first find the prime factorization of 73674 and 73687. After we will calculate the factors of 73674 and 73687 and find the biggest common factor number .

Step-1: Prime Factorization of 73674

Prime factors of 73674 are 2, 3, 4093. Prime factorization of 73674 in exponential form is:

73674 = 2¹ × 3² × 4093¹

Step-2: Prime Factorization of 73687

Prime factors of 73687 are 31, 2377. Prime factorization of 73687 in exponential form is:

73687 = 31¹ × 2377¹

Step-3: Factors of 73674

List of positive integer factors of 73674 that divides 73674 without a remainder.

1, 2, 3, 6, 9, 18, 4093, 8186, 12279, 24558, 36837

Step-4: Factors of 73687

List of positive integer factors of 73687 that divides 73674 without a remainder.

1, 31, 2377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73674 and 73687. The biggest common factor number is the GCF number.
So the greatest common factor 73674 and 73687 is 1.

Also check out the Least Common Multiple of 73674 and 73687