What is the Greatest Common Factor of 94269 and 94276?

Greatest common factor (GCF) of 94269 and 94276 is 7.

GCF(94269,94276) = 7

We will now calculate the prime factors of 94269 and 94276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94269 and 94276.

How to find the GCF of 94269 and 94276?

We will first find the prime factorization of 94269 and 94276. After we will calculate the factors of 94269 and 94276 and find the biggest common factor number .

Step-1: Prime Factorization of 94269

Prime factors of 94269 are 3, 7, 67. Prime factorization of 94269 in exponential form is:

94269 = 3¹ × 7¹ × 67²

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 94269

List of positive integer factors of 94269 that divides 94269 without a remainder.

1, 3, 7, 21, 67, 201, 469, 1407, 4489, 13467, 31423

Step-4: Factors of 94276

List of positive integer factors of 94276 that divides 94269 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 94269 and 94276. The biggest common factor number is the GCF number.
So the greatest common factor 94269 and 94276 is 7.

Also check out the Least Common Multiple of 94269 and 94276