What is the Greatest Common Factor of 20189 and 20202?

Greatest common factor (GCF) of 20189 and 20202 is 13.

GCF(20189,20202) = 13

We will now calculate the prime factors of 20189 and 20202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20189 and 20202.

How to find the GCF of 20189 and 20202?

We will first find the prime factorization of 20189 and 20202. After we will calculate the factors of 20189 and 20202 and find the biggest common factor number .

Step-1: Prime Factorization of 20189

Prime factors of 20189 are 13, 1553. Prime factorization of 20189 in exponential form is:

20189 = 13¹ × 1553¹

Step-2: Prime Factorization of 20202

Prime factors of 20202 are 2, 3, 7, 13, 37. Prime factorization of 20202 in exponential form is:

20202 = 2¹ × 3¹ × 7¹ × 13¹ × 37¹

Step-3: Factors of 20189

List of positive integer factors of 20189 that divides 20189 without a remainder.

1, 13, 1553

Step-4: Factors of 20202

List of positive integer factors of 20202 that divides 20189 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 37, 39, 42, 74, 78, 91, 111, 182, 222, 259, 273, 481, 518, 546, 777, 962, 1443, 1554, 2886, 3367, 6734, 10101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20189 and 20202. The biggest common factor number is the GCF number.
So the greatest common factor 20189 and 20202 is 13.

Also check out the Least Common Multiple of 20189 and 20202