What is the Greatest Common Factor of 20497 and 20502?

Greatest common factor (GCF) of 20497 and 20502 is 1.

GCF(20497,20502) = 1

We will now calculate the prime factors of 20497 and 20502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20497 and 20502.

How to find the GCF of 20497 and 20502?

We will first find the prime factorization of 20497 and 20502. After we will calculate the factors of 20497 and 20502 and find the biggest common factor number .

Step-1: Prime Factorization of 20497

Prime factors of 20497 are 103, 199. Prime factorization of 20497 in exponential form is:

20497 = 103¹ × 199¹

Step-2: Prime Factorization of 20502

Prime factors of 20502 are 2, 3, 17, 67. Prime factorization of 20502 in exponential form is:

20502 = 2¹ × 3² × 17¹ × 67¹

Step-3: Factors of 20497

List of positive integer factors of 20497 that divides 20497 without a remainder.

1, 103, 199

Step-4: Factors of 20502

List of positive integer factors of 20502 that divides 20497 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 67, 102, 134, 153, 201, 306, 402, 603, 1139, 1206, 2278, 3417, 6834, 10251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20497 and 20502. The biggest common factor number is the GCF number.
So the greatest common factor 20497 and 20502 is 1.

Also check out the Least Common Multiple of 20497 and 20502