What is the Greatest Common Factor of 23520 and 23530?

Greatest common factor (GCF) of 23520 and 23530 is 10.

GCF(23520,23530) = 10

We will now calculate the prime factors of 23520 and 23530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23520 and 23530.

How to find the GCF of 23520 and 23530?

We will first find the prime factorization of 23520 and 23530. After we will calculate the factors of 23520 and 23530 and find the biggest common factor number .

Step-1: Prime Factorization of 23520

Prime factors of 23520 are 2, 3, 5, 7. Prime factorization of 23520 in exponential form is:

23520 = 2⁵ × 3¹ × 5¹ × 7²

Step-2: Prime Factorization of 23530

Prime factors of 23530 are 2, 5, 13, 181. Prime factorization of 23530 in exponential form is:

23530 = 2¹ × 5¹ × 13¹ × 181¹

Step-3: Factors of 23520

List of positive integer factors of 23520 that divides 23520 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 49, 56, 60, 70, 80, 84, 96, 98, 105, 112, 120, 140, 147, 160, 168, 196, 210, 224, 240, 245, 280, 294, 336, 392, 420, 480, 490, 560, 588, 672, 735, 784, 840, 980, 1120, 1176, 1470, 1568, 1680, 1960, 2352, 2940, 3360, 3920, 4704, 5880, 7840, 11760

Step-4: Factors of 23530

List of positive integer factors of 23530 that divides 23520 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 181, 362, 905, 1810, 2353, 4706, 11765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23520 and 23530. The biggest common factor number is the GCF number.
So the greatest common factor 23520 and 23530 is 10.

Also check out the Least Common Multiple of 23520 and 23530