What is the Greatest Common Factor of 20246 and 20260?

Greatest common factor (GCF) of 20246 and 20260 is 2.

GCF(20246,20260) = 2

We will now calculate the prime factors of 20246 and 20260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20246 and 20260.

How to find the GCF of 20246 and 20260?

We will first find the prime factorization of 20246 and 20260. After we will calculate the factors of 20246 and 20260 and find the biggest common factor number .

Step-1: Prime Factorization of 20246

Prime factors of 20246 are 2, 53, 191. Prime factorization of 20246 in exponential form is:

20246 = 2¹ × 53¹ × 191¹

Step-2: Prime Factorization of 20260

Prime factors of 20260 are 2, 5, 1013. Prime factorization of 20260 in exponential form is:

20260 = 2² × 5¹ × 1013¹

Step-3: Factors of 20246

List of positive integer factors of 20246 that divides 20246 without a remainder.

1, 2, 53, 106, 191, 382, 10123

Step-4: Factors of 20260

List of positive integer factors of 20260 that divides 20246 without a remainder.

1, 2, 4, 5, 10, 20, 1013, 2026, 4052, 5065, 10130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20246 and 20260. The biggest common factor number is the GCF number.
So the greatest common factor 20246 and 20260 is 2.

Also check out the Least Common Multiple of 20246 and 20260