What is the Greatest Common Factor of 49259 and 49266?

Greatest common factor (GCF) of 49259 and 49266 is 7.

GCF(49259,49266) = 7

We will now calculate the prime factors of 49259 and 49266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49259 and 49266.

How to find the GCF of 49259 and 49266?

We will first find the prime factorization of 49259 and 49266. After we will calculate the factors of 49259 and 49266 and find the biggest common factor number .

Step-1: Prime Factorization of 49259

Prime factors of 49259 are 7, 31, 227. Prime factorization of 49259 in exponential form is:

49259 = 7¹ × 31¹ × 227¹

Step-2: 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-3: Factors of 49259

List of positive integer factors of 49259 that divides 49259 without a remainder.

1, 7, 31, 217, 227, 1589, 7037

Step-4: Factors of 49266

List of positive integer factors of 49266 that divides 49259 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49259 and 49266. The biggest common factor number is the GCF number.
So the greatest common factor 49259 and 49266 is 7.

Also check out the Least Common Multiple of 49259 and 49266