What is the Greatest Common Factor of 73657 and 73674?

Greatest common factor (GCF) of 73657 and 73674 is 1.

GCF(73657,73674) = 1

We will now calculate the prime factors of 73657 and 73674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73657 and 73674.

How to find the GCF of 73657 and 73674?

We will first find the prime factorization of 73657 and 73674. After we will calculate the factors of 73657 and 73674 and find the biggest common factor number .

Step-1: Prime Factorization of 73657

Prime factors of 73657 are 73, 1009. Prime factorization of 73657 in exponential form is:

73657 = 73¹ × 1009¹

Step-2: 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-3: Factors of 73657

List of positive integer factors of 73657 that divides 73657 without a remainder.

1, 73, 1009

Step-4: Factors of 73674

List of positive integer factors of 73674 that divides 73657 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73657 and 73674. The biggest common factor number is the GCF number.
So the greatest common factor 73657 and 73674 is 1.

Also check out the Least Common Multiple of 73657 and 73674