What is the Greatest Common Factor of 23044 and 23064?

Greatest common factor (GCF) of 23044 and 23064 is 4.

GCF(23044,23064) = 4

We will now calculate the prime factors of 23044 and 23064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23044 and 23064.

How to find the GCF of 23044 and 23064?

We will first find the prime factorization of 23044 and 23064. After we will calculate the factors of 23044 and 23064 and find the biggest common factor number .

Step-1: Prime Factorization of 23044

Prime factors of 23044 are 2, 7, 823. Prime factorization of 23044 in exponential form is:

23044 = 2² × 7¹ × 823¹

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 23044

List of positive integer factors of 23044 that divides 23044 without a remainder.

1, 2, 4, 7, 14, 28, 823, 1646, 3292, 5761, 11522

Step-4: Factors of 23064

List of positive integer factors of 23064 that divides 23044 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 23044 and 23064. The biggest common factor number is the GCF number.
So the greatest common factor 23044 and 23064 is 4.

Also check out the Least Common Multiple of 23044 and 23064