What is the Greatest Common Factor of 34152 and 34167?

Greatest common factor (GCF) of 34152 and 34167 is 3.

GCF(34152,34167) = 3

We will now calculate the prime factors of 34152 and 34167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34152 and 34167.

How to find the GCF of 34152 and 34167?

We will first find the prime factorization of 34152 and 34167. After we will calculate the factors of 34152 and 34167 and find the biggest common factor number .

Step-1: Prime Factorization of 34152

Prime factors of 34152 are 2, 3, 1423. Prime factorization of 34152 in exponential form is:

34152 = 2³ × 3¹ × 1423¹

Step-2: Prime Factorization of 34167

Prime factors of 34167 are 3, 7, 1627. Prime factorization of 34167 in exponential form is:

34167 = 3¹ × 7¹ × 1627¹

Step-3: Factors of 34152

List of positive integer factors of 34152 that divides 34152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1423, 2846, 4269, 5692, 8538, 11384, 17076

Step-4: Factors of 34167

List of positive integer factors of 34167 that divides 34152 without a remainder.

1, 3, 7, 21, 1627, 4881, 11389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34152 and 34167. The biggest common factor number is the GCF number.
So the greatest common factor 34152 and 34167 is 3.

Also check out the Least Common Multiple of 34152 and 34167