What is the Greatest Common Factor of 91494 and 91503?

Greatest common factor (GCF) of 91494 and 91503 is 9.

GCF(91494,91503) = 9

We will now calculate the prime factors of 91494 and 91503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91494 and 91503.

How to find the GCF of 91494 and 91503?

We will first find the prime factorization of 91494 and 91503. After we will calculate the factors of 91494 and 91503 and find the biggest common factor number .

Step-1: Prime Factorization of 91494

Prime factors of 91494 are 2, 3, 13, 17, 23. Prime factorization of 91494 in exponential form is:

91494 = 2¹ × 3² × 13¹ × 17¹ × 23¹

Step-2: Prime Factorization of 91503

Prime factors of 91503 are 3, 3389. Prime factorization of 91503 in exponential form is:

91503 = 3³ × 3389¹

Step-3: Factors of 91494

List of positive integer factors of 91494 that divides 91494 without a remainder.

1, 2, 3, 6, 9, 13, 17, 18, 23, 26, 34, 39, 46, 51, 69, 78, 102, 117, 138, 153, 207, 221, 234, 299, 306, 391, 414, 442, 598, 663, 782, 897, 1173, 1326, 1794, 1989, 2346, 2691, 3519, 3978, 5083, 5382, 7038, 10166, 15249, 30498, 45747

Step-4: Factors of 91503

List of positive integer factors of 91503 that divides 91494 without a remainder.

1, 3, 9, 27, 3389, 10167, 30501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91494 and 91503. The biggest common factor number is the GCF number.
So the greatest common factor 91494 and 91503 is 9.

Also check out the Least Common Multiple of 91494 and 91503