What is the Greatest Common Factor of 94263 and 94276?

Greatest common factor (GCF) of 94263 and 94276 is 13.

GCF(94263,94276) = 13

We will now calculate the prime factors of 94263 and 94276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94263 and 94276.

How to find the GCF of 94263 and 94276?

We will first find the prime factorization of 94263 and 94276. After we will calculate the factors of 94263 and 94276 and find the biggest common factor number .

Step-1: Prime Factorization of 94263

Prime factors of 94263 are 3, 13, 2417. Prime factorization of 94263 in exponential form is:

94263 = 3¹ × 13¹ × 2417¹

Step-2: Prime Factorization of 94276

Prime factors of 94276 are 2, 7, 13, 37. Prime factorization of 94276 in exponential form is:

94276 = 2² × 7² × 13¹ × 37¹

Step-3: Factors of 94263

List of positive integer factors of 94263 that divides 94263 without a remainder.

1, 3, 13, 39, 2417, 7251, 31421

Step-4: Factors of 94276

List of positive integer factors of 94276 that divides 94263 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 37, 49, 52, 74, 91, 98, 148, 182, 196, 259, 364, 481, 518, 637, 962, 1036, 1274, 1813, 1924, 2548, 3367, 3626, 6734, 7252, 13468, 23569, 47138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94263 and 94276. The biggest common factor number is the GCF number.
So the greatest common factor 94263 and 94276 is 13.

Also check out the Least Common Multiple of 94263 and 94276