What is the Greatest Common Factor of 23130 and 23140?

Greatest common factor (GCF) of 23130 and 23140 is 10.

GCF(23130,23140) = 10

We will now calculate the prime factors of 23130 and 23140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23130 and 23140.

How to find the GCF of 23130 and 23140?

We will first find the prime factorization of 23130 and 23140. After we will calculate the factors of 23130 and 23140 and find the biggest common factor number .

Step-1: Prime Factorization of 23130

Prime factors of 23130 are 2, 3, 5, 257. Prime factorization of 23130 in exponential form is:

23130 = 2¹ × 3² × 5¹ × 257¹

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 23130

List of positive integer factors of 23130 that divides 23130 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 257, 514, 771, 1285, 1542, 2313, 2570, 3855, 4626, 7710, 11565

Step-4: Factors of 23140

List of positive integer factors of 23140 that divides 23130 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 23130 and 23140. The biggest common factor number is the GCF number.
So the greatest common factor 23130 and 23140 is 10.

Also check out the Least Common Multiple of 23130 and 23140