What is the Greatest Common Factor of 73659 and 73665?

Greatest common factor (GCF) of 73659 and 73665 is 3.

GCF(73659,73665) = 3

We will now calculate the prime factors of 73659 and 73665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73659 and 73665.

How to find the GCF of 73659 and 73665?

We will first find the prime factorization of 73659 and 73665. After we will calculate the factors of 73659 and 73665 and find the biggest common factor number .

Step-1: Prime Factorization of 73659

Prime factors of 73659 are 3, 43, 571. Prime factorization of 73659 in exponential form is:

73659 = 3¹ × 43¹ × 571¹

Step-2: Prime Factorization of 73665

Prime factors of 73665 are 3, 5, 1637. Prime factorization of 73665 in exponential form is:

73665 = 3² × 5¹ × 1637¹

Step-3: Factors of 73659

List of positive integer factors of 73659 that divides 73659 without a remainder.

1, 3, 43, 129, 571, 1713, 24553

Step-4: Factors of 73665

List of positive integer factors of 73665 that divides 73659 without a remainder.

1, 3, 5, 9, 15, 45, 1637, 4911, 8185, 14733, 24555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73659 and 73665. The biggest common factor number is the GCF number.
So the greatest common factor 73659 and 73665 is 3.

Also check out the Least Common Multiple of 73659 and 73665