What is the Greatest Common Factor of 23046 and 23055?

Greatest common factor (GCF) of 23046 and 23055 is 3.

GCF(23046,23055) = 3

We will now calculate the prime factors of 23046 and 23055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23046 and 23055.

How to find the GCF of 23046 and 23055?

We will first find the prime factorization of 23046 and 23055. After we will calculate the factors of 23046 and 23055 and find the biggest common factor number .

Step-1: Prime Factorization of 23046

Prime factors of 23046 are 2, 3, 23, 167. Prime factorization of 23046 in exponential form is:

23046 = 2¹ × 3¹ × 23¹ × 167¹

Step-2: Prime Factorization of 23055

Prime factors of 23055 are 3, 5, 29, 53. Prime factorization of 23055 in exponential form is:

23055 = 3¹ × 5¹ × 29¹ × 53¹

Step-3: Factors of 23046

List of positive integer factors of 23046 that divides 23046 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 167, 334, 501, 1002, 3841, 7682, 11523

Step-4: Factors of 23055

List of positive integer factors of 23055 that divides 23046 without a remainder.

1, 3, 5, 15, 29, 53, 87, 145, 159, 265, 435, 795, 1537, 4611, 7685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23046 and 23055. The biggest common factor number is the GCF number.
So the greatest common factor 23046 and 23055 is 3.

Also check out the Least Common Multiple of 23046 and 23055