What is the Greatest Common Factor of 73167 and 73182?

Greatest common factor (GCF) of 73167 and 73182 is 3.

GCF(73167,73182) = 3

We will now calculate the prime factors of 73167 and 73182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73167 and 73182.

How to find the GCF of 73167 and 73182?

We will first find the prime factorization of 73167 and 73182. After we will calculate the factors of 73167 and 73182 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 73182

Prime factors of 73182 are 2, 3, 12197. Prime factorization of 73182 in exponential form is:

73182 = 2¹ × 3¹ × 12197¹

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 73182

List of positive integer factors of 73182 that divides 73167 without a remainder.

1, 2, 3, 6, 12197, 24394, 36591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73167 and 73182. The biggest common factor number is the GCF number.
So the greatest common factor 73167 and 73182 is 3.

Also check out the Least Common Multiple of 73167 and 73182