What is the Greatest Common Factor of 20235 and 20253?

Greatest common factor (GCF) of 20235 and 20253 is 3.

GCF(20235,20253) = 3

We will now calculate the prime factors of 20235 and 20253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20235 and 20253.

How to find the GCF of 20235 and 20253?

We will first find the prime factorization of 20235 and 20253. After we will calculate the factors of 20235 and 20253 and find the biggest common factor number .

Step-1: Prime Factorization of 20235

Prime factors of 20235 are 3, 5, 19, 71. Prime factorization of 20235 in exponential form is:

20235 = 3¹ × 5¹ × 19¹ × 71¹

Step-2: Prime Factorization of 20253

Prime factors of 20253 are 3, 43, 157. Prime factorization of 20253 in exponential form is:

20253 = 3¹ × 43¹ × 157¹

Step-3: Factors of 20235

List of positive integer factors of 20235 that divides 20235 without a remainder.

1, 3, 5, 15, 19, 57, 71, 95, 213, 285, 355, 1065, 1349, 4047, 6745

Step-4: Factors of 20253

List of positive integer factors of 20253 that divides 20235 without a remainder.

1, 3, 43, 129, 157, 471, 6751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20235 and 20253. The biggest common factor number is the GCF number.
So the greatest common factor 20235 and 20253 is 3.

Also check out the Least Common Multiple of 20235 and 20253