What is the Greatest Common Factor of 23134 and 23140?

Greatest common factor (GCF) of 23134 and 23140 is 2.

GCF(23134,23140) = 2

We will now calculate the prime factors of 23134 and 23140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23134 and 23140.

How to find the GCF of 23134 and 23140?

We will first find the prime factorization of 23134 and 23140. After we will calculate the factors of 23134 and 23140 and find the biggest common factor number .

Step-1: Prime Factorization of 23134

Prime factors of 23134 are 2, 43, 269. Prime factorization of 23134 in exponential form is:

23134 = 2¹ × 43¹ × 269¹

Step-2: Prime Factorization of 23140

Prime factors of 23140 are 2, 5, 13, 89. Prime factorization of 23140 in exponential form is:

23140 = 2² × 5¹ × 13¹ × 89¹

Step-3: Factors of 23134

List of positive integer factors of 23134 that divides 23134 without a remainder.

1, 2, 43, 86, 269, 538, 11567

Step-4: Factors of 23140

List of positive integer factors of 23140 that divides 23134 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 89, 130, 178, 260, 356, 445, 890, 1157, 1780, 2314, 4628, 5785, 11570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23134 and 23140. The biggest common factor number is the GCF number.
So the greatest common factor 23134 and 23140 is 2.

Also check out the Least Common Multiple of 23134 and 23140