What is the Greatest Common Factor of 73667 and 73678?

Greatest common factor (GCF) of 73667 and 73678 is 11.

GCF(73667,73678) = 11

We will now calculate the prime factors of 73667 and 73678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73667 and 73678.

How to find the GCF of 73667 and 73678?

We will first find the prime factorization of 73667 and 73678. After we will calculate the factors of 73667 and 73678 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 73678

Prime factors of 73678 are 2, 11, 17, 197. Prime factorization of 73678 in exponential form is:

73678 = 2¹ × 11¹ × 17¹ × 197¹

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 73678

List of positive integer factors of 73678 that divides 73667 without a remainder.

1, 2, 11, 17, 22, 34, 187, 197, 374, 394, 2167, 3349, 4334, 6698, 36839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73667 and 73678. The biggest common factor number is the GCF number.
So the greatest common factor 73667 and 73678 is 11.

Also check out the Least Common Multiple of 73667 and 73678