What is the Greatest Common Factor of 23046 and 23064?

Greatest common factor (GCF) of 23046 and 23064 is 6.

GCF(23046,23064) = 6

We will now calculate the prime factors of 23046 and 23064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23046 and 23064.

How to find the GCF of 23046 and 23064?

We will first find the prime factorization of 23046 and 23064. After we will calculate the factors of 23046 and 23064 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 23064

Prime factors of 23064 are 2, 3, 31. Prime factorization of 23064 in exponential form is:

23064 = 2³ × 3¹ × 31²

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 23064

List of positive integer factors of 23064 that divides 23046 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744, 961, 1922, 2883, 3844, 5766, 7688, 11532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23046 and 23064. The biggest common factor number is the GCF number.
So the greatest common factor 23046 and 23064 is 6.

Also check out the Least Common Multiple of 23046 and 23064