What is the Greatest Common Factor of 20460 and 20470?

Greatest common factor (GCF) of 20460 and 20470 is 10.

GCF(20460,20470) = 10

We will now calculate the prime factors of 20460 and 20470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20460 and 20470.

How to find the GCF of 20460 and 20470?

We will first find the prime factorization of 20460 and 20470. After we will calculate the factors of 20460 and 20470 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20470

Prime factors of 20470 are 2, 5, 23, 89. Prime factorization of 20470 in exponential form is:

20470 = 2¹ × 5¹ × 23¹ × 89¹

Step-3: Factors of 20460

List of positive integer factors of 20460 that divides 20460 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

Step-4: Factors of 20470

List of positive integer factors of 20470 that divides 20460 without a remainder.

1, 2, 5, 10, 23, 46, 89, 115, 178, 230, 445, 890, 2047, 4094, 10235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20460 and 20470. The biggest common factor number is the GCF number.
So the greatest common factor 20460 and 20470 is 10.

Also check out the Least Common Multiple of 20460 and 20470