What is the Greatest Common Factor of 20454 and 20460?

Greatest common factor (GCF) of 20454 and 20460 is 6.

GCF(20454,20460) = 6

We will now calculate the prime factors of 20454 and 20460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20454 and 20460.

How to find the GCF of 20454 and 20460?

We will first find the prime factorization of 20454 and 20460. After we will calculate the factors of 20454 and 20460 and find the biggest common factor number .

Step-1: Prime Factorization of 20454

Prime factors of 20454 are 2, 3, 7, 487. Prime factorization of 20454 in exponential form is:

20454 = 2¹ × 3¹ × 7¹ × 487¹

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 20454

List of positive integer factors of 20454 that divides 20454 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 487, 974, 1461, 2922, 3409, 6818, 10227

Step-4: Factors of 20460

List of positive integer factors of 20460 that divides 20454 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 20454 and 20460. The biggest common factor number is the GCF number.
So the greatest common factor 20454 and 20460 is 6.

Also check out the Least Common Multiple of 20454 and 20460