What is the Greatest Common Factor of 20485 and 20502?

Greatest common factor (GCF) of 20485 and 20502 is 17.

GCF(20485,20502) = 17

We will now calculate the prime factors of 20485 and 20502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20485 and 20502.

How to find the GCF of 20485 and 20502?

We will first find the prime factorization of 20485 and 20502. After we will calculate the factors of 20485 and 20502 and find the biggest common factor number .

Step-1: Prime Factorization of 20485

Prime factors of 20485 are 5, 17, 241. Prime factorization of 20485 in exponential form is:

20485 = 5¹ × 17¹ × 241¹

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 20485

List of positive integer factors of 20485 that divides 20485 without a remainder.

1, 5, 17, 85, 241, 1205, 4097

Step-4: Factors of 20502

List of positive integer factors of 20502 that divides 20485 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 20485 and 20502. The biggest common factor number is the GCF number.
So the greatest common factor 20485 and 20502 is 17.

Also check out the Least Common Multiple of 20485 and 20502