What is the Greatest Common Factor of 49266 and 49286?

Greatest common factor (GCF) of 49266 and 49286 is 2.

GCF(49266,49286) = 2

We will now calculate the prime factors of 49266 and 49286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49266 and 49286.

How to find the GCF of 49266 and 49286?

We will first find the prime factorization of 49266 and 49286. After we will calculate the factors of 49266 and 49286 and find the biggest common factor number .

Step-1: Prime Factorization of 49266

Prime factors of 49266 are 2, 3, 7, 17, 23. Prime factorization of 49266 in exponential form is:

49266 = 2¹ × 3² × 7¹ × 17¹ × 23¹

Step-2: Prime Factorization of 49286

Prime factors of 49286 are 2, 19, 1297. Prime factorization of 49286 in exponential form is:

49286 = 2¹ × 19¹ × 1297¹

Step-3: Factors of 49266

List of positive integer factors of 49266 that divides 49266 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 23, 34, 42, 46, 51, 63, 69, 102, 119, 126, 138, 153, 161, 207, 238, 306, 322, 357, 391, 414, 483, 714, 782, 966, 1071, 1173, 1449, 2142, 2346, 2737, 2898, 3519, 5474, 7038, 8211, 16422, 24633

Step-4: Factors of 49286

List of positive integer factors of 49286 that divides 49266 without a remainder.

1, 2, 19, 38, 1297, 2594, 24643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49266 and 49286. The biggest common factor number is the GCF number.
So the greatest common factor 49266 and 49286 is 2.

Also check out the Least Common Multiple of 49266 and 49286