What is the Greatest Common Factor of 23712 and 23730?

Greatest common factor (GCF) of 23712 and 23730 is 6.

GCF(23712,23730) = 6

We will now calculate the prime factors of 23712 and 23730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23712 and 23730.

How to find the GCF of 23712 and 23730?

We will first find the prime factorization of 23712 and 23730. After we will calculate the factors of 23712 and 23730 and find the biggest common factor number .

Step-1: Prime Factorization of 23712

Prime factors of 23712 are 2, 3, 13, 19. Prime factorization of 23712 in exponential form is:

23712 = 2⁵ × 3¹ × 13¹ × 19¹

Step-2: Prime Factorization of 23730

Prime factors of 23730 are 2, 3, 5, 7, 113. Prime factorization of 23730 in exponential form is:

23730 = 2¹ × 3¹ × 5¹ × 7¹ × 113¹

Step-3: Factors of 23712

List of positive integer factors of 23712 that divides 23712 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 19, 24, 26, 32, 38, 39, 48, 52, 57, 76, 78, 96, 104, 114, 152, 156, 208, 228, 247, 304, 312, 416, 456, 494, 608, 624, 741, 912, 988, 1248, 1482, 1824, 1976, 2964, 3952, 5928, 7904, 11856

Step-4: Factors of 23730

List of positive integer factors of 23730 that divides 23712 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 113, 210, 226, 339, 565, 678, 791, 1130, 1582, 1695, 2373, 3390, 3955, 4746, 7910, 11865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23712 and 23730. The biggest common factor number is the GCF number.
So the greatest common factor 23712 and 23730 is 6.

Also check out the Least Common Multiple of 23712 and 23730