What is the Greatest Common Factor of 73667 and 73685?

Greatest common factor (GCF) of 73667 and 73685 is 1.

GCF(73667,73685) = 1

We will now calculate the prime factors of 73667 and 73685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73667 and 73685.

How to find the GCF of 73667 and 73685?

We will first find the prime factorization of 73667 and 73685. After we will calculate the factors of 73667 and 73685 and find the biggest common factor number .

Step-1: Prime Factorization of 73667

Prime factors of 73667 are 11, 37, 181. Prime factorization of 73667 in exponential form is:

73667 = 11¹ × 37¹ × 181¹

Step-2: Prime Factorization of 73685

Prime factors of 73685 are 5, 14737. Prime factorization of 73685 in exponential form is:

73685 = 5¹ × 14737¹

Step-3: Factors of 73667

List of positive integer factors of 73667 that divides 73667 without a remainder.

1, 11, 37, 181, 407, 1991, 6697

Step-4: Factors of 73685

List of positive integer factors of 73685 that divides 73667 without a remainder.

1, 5, 14737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73667 and 73685. The biggest common factor number is the GCF number.
So the greatest common factor 73667 and 73685 is 1.

Also check out the Least Common Multiple of 73667 and 73685