What is the Greatest Common Factor of 20292 and 20305?

Greatest common factor (GCF) of 20292 and 20305 is 1.

GCF(20292,20305) = 1

We will now calculate the prime factors of 20292 and 20305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20292 and 20305.

How to find the GCF of 20292 and 20305?

We will first find the prime factorization of 20292 and 20305. After we will calculate the factors of 20292 and 20305 and find the biggest common factor number .

Step-1: Prime Factorization of 20292

Prime factors of 20292 are 2, 3, 19, 89. Prime factorization of 20292 in exponential form is:

20292 = 2² × 3¹ × 19¹ × 89¹

Step-2: Prime Factorization of 20305

Prime factors of 20305 are 5, 31, 131. Prime factorization of 20305 in exponential form is:

20305 = 5¹ × 31¹ × 131¹

Step-3: Factors of 20292

List of positive integer factors of 20292 that divides 20292 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 89, 114, 178, 228, 267, 356, 534, 1068, 1691, 3382, 5073, 6764, 10146

Step-4: Factors of 20305

List of positive integer factors of 20305 that divides 20292 without a remainder.

1, 5, 31, 131, 155, 655, 4061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20292 and 20305. The biggest common factor number is the GCF number.
So the greatest common factor 20292 and 20305 is 1.

Also check out the Least Common Multiple of 20292 and 20305