What is the Greatest Common Factor of 20448 and 20460?

Greatest common factor (GCF) of 20448 and 20460 is 12.

GCF(20448,20460) = 12

We will now calculate the prime factors of 20448 and 20460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20448 and 20460.

How to find the GCF of 20448 and 20460?

We will first find the prime factorization of 20448 and 20460. After we will calculate the factors of 20448 and 20460 and find the biggest common factor number .

Step-1: Prime Factorization of 20448

Prime factors of 20448 are 2, 3, 71. Prime factorization of 20448 in exponential form is:

20448 = 2⁵ × 3² × 71¹

Step-2: Prime Factorization of 20460

Prime factors of 20460 are 2, 3, 5, 11, 31. Prime factorization of 20460 in exponential form is:

20460 = 2² × 3¹ × 5¹ × 11¹ × 31¹

Step-3: Factors of 20448

List of positive integer factors of 20448 that divides 20448 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 71, 72, 96, 142, 144, 213, 284, 288, 426, 568, 639, 852, 1136, 1278, 1704, 2272, 2556, 3408, 5112, 6816, 10224

Step-4: Factors of 20460

List of positive integer factors of 20460 that divides 20448 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 31, 33, 44, 55, 60, 62, 66, 93, 110, 124, 132, 155, 165, 186, 220, 310, 330, 341, 372, 465, 620, 660, 682, 930, 1023, 1364, 1705, 1860, 2046, 3410, 4092, 5115, 6820, 10230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20448 and 20460. The biggest common factor number is the GCF number.
So the greatest common factor 20448 and 20460 is 12.

Also check out the Least Common Multiple of 20448 and 20460