What is the Greatest Common Factor of 23074 and 23088?

Greatest common factor (GCF) of 23074 and 23088 is 2.

GCF(23074,23088) = 2

We will now calculate the prime factors of 23074 and 23088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23074 and 23088.

How to find the GCF of 23074 and 23088?

We will first find the prime factorization of 23074 and 23088. After we will calculate the factors of 23074 and 23088 and find the biggest common factor number .

Step-1: Prime Factorization of 23074

Prime factors of 23074 are 2, 83, 139. Prime factorization of 23074 in exponential form is:

23074 = 2¹ × 83¹ × 139¹

Step-2: Prime Factorization of 23088

Prime factors of 23088 are 2, 3, 13, 37. Prime factorization of 23088 in exponential form is:

23088 = 2⁴ × 3¹ × 13¹ × 37¹

Step-3: Factors of 23074

List of positive integer factors of 23074 that divides 23074 without a remainder.

1, 2, 83, 139, 166, 278, 11537

Step-4: Factors of 23088

List of positive integer factors of 23088 that divides 23074 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 37, 39, 48, 52, 74, 78, 104, 111, 148, 156, 208, 222, 296, 312, 444, 481, 592, 624, 888, 962, 1443, 1776, 1924, 2886, 3848, 5772, 7696, 11544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23074 and 23088. The biggest common factor number is the GCF number.
So the greatest common factor 23074 and 23088 is 2.

Also check out the Least Common Multiple of 23074 and 23088