What is the Greatest Common Factor of 23064 and 23070?

Greatest common factor (GCF) of 23064 and 23070 is 6.

GCF(23064,23070) = 6

We will now calculate the prime factors of 23064 and 23070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23064 and 23070.

How to find the GCF of 23064 and 23070?

We will first find the prime factorization of 23064 and 23070. After we will calculate the factors of 23064 and 23070 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23070

Prime factors of 23070 are 2, 3, 5, 769. Prime factorization of 23070 in exponential form is:

23070 = 2¹ × 3¹ × 5¹ × 769¹

Step-3: Factors of 23064

List of positive integer factors of 23064 that divides 23064 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

Step-4: Factors of 23070

List of positive integer factors of 23070 that divides 23064 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 769, 1538, 2307, 3845, 4614, 7690, 11535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23064 and 23070. The biggest common factor number is the GCF number.
So the greatest common factor 23064 and 23070 is 6.

Also check out the Least Common Multiple of 23064 and 23070