What is the Greatest Common Factor of 73167 and 73186?

Greatest common factor (GCF) of 73167 and 73186 is 1.

GCF(73167,73186) = 1

We will now calculate the prime factors of 73167 and 73186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73167 and 73186.

How to find the GCF of 73167 and 73186?

We will first find the prime factorization of 73167 and 73186. After we will calculate the factors of 73167 and 73186 and find the biggest common factor number .

Step-1: Prime Factorization of 73167

Prime factors of 73167 are 3, 29. Prime factorization of 73167 in exponential form is:

73167 = 3¹ × 29³

Step-2: Prime Factorization of 73186

Prime factors of 73186 are 2, 23, 37, 43. Prime factorization of 73186 in exponential form is:

73186 = 2¹ × 23¹ × 37¹ × 43¹

Step-3: Factors of 73167

List of positive integer factors of 73167 that divides 73167 without a remainder.

1, 3, 29, 87, 841, 2523, 24389

Step-4: Factors of 73186

List of positive integer factors of 73186 that divides 73167 without a remainder.

1, 2, 23, 37, 43, 46, 74, 86, 851, 989, 1591, 1702, 1978, 3182, 36593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73167 and 73186. The biggest common factor number is the GCF number.
So the greatest common factor 73167 and 73186 is 1.

Also check out the Least Common Multiple of 73167 and 73186