What is the Greatest Common Factor of 20296 and 20306?

Greatest common factor (GCF) of 20296 and 20306 is 2.

GCF(20296,20306) = 2

We will now calculate the prime factors of 20296 and 20306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20296 and 20306.

How to find the GCF of 20296 and 20306?

We will first find the prime factorization of 20296 and 20306. After we will calculate the factors of 20296 and 20306 and find the biggest common factor number .

Step-1: Prime Factorization of 20296

Prime factors of 20296 are 2, 43, 59. Prime factorization of 20296 in exponential form is:

20296 = 2³ × 43¹ × 59¹

Step-2: Prime Factorization of 20306

Prime factors of 20306 are 2, 11, 13, 71. Prime factorization of 20306 in exponential form is:

20306 = 2¹ × 11¹ × 13¹ × 71¹

Step-3: Factors of 20296

List of positive integer factors of 20296 that divides 20296 without a remainder.

1, 2, 4, 8, 43, 59, 86, 118, 172, 236, 344, 472, 2537, 5074, 10148

Step-4: Factors of 20306

List of positive integer factors of 20306 that divides 20296 without a remainder.

1, 2, 11, 13, 22, 26, 71, 142, 143, 286, 781, 923, 1562, 1846, 10153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20296 and 20306. The biggest common factor number is the GCF number.
So the greatest common factor 20296 and 20306 is 2.

Also check out the Least Common Multiple of 20296 and 20306