What is the Greatest Common Factor of 20340 and 20354?

Greatest common factor (GCF) of 20340 and 20354 is 2.

GCF(20340,20354) = 2

We will now calculate the prime factors of 20340 and 20354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20340 and 20354.

How to find the GCF of 20340 and 20354?

We will first find the prime factorization of 20340 and 20354. After we will calculate the factors of 20340 and 20354 and find the biggest common factor number .

Step-1: Prime Factorization of 20340

Prime factors of 20340 are 2, 3, 5, 113. Prime factorization of 20340 in exponential form is:

20340 = 2² × 3² × 5¹ × 113¹

Step-2: Prime Factorization of 20354

Prime factors of 20354 are 2, 10177. Prime factorization of 20354 in exponential form is:

20354 = 2¹ × 10177¹

Step-3: Factors of 20340

List of positive integer factors of 20340 that divides 20340 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 113, 180, 226, 339, 452, 565, 678, 1017, 1130, 1356, 1695, 2034, 2260, 3390, 4068, 5085, 6780, 10170

Step-4: Factors of 20354

List of positive integer factors of 20354 that divides 20340 without a remainder.

1, 2, 10177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20340 and 20354. The biggest common factor number is the GCF number.
So the greatest common factor 20340 and 20354 is 2.

Also check out the Least Common Multiple of 20340 and 20354