What is the Greatest Common Factor of 91488 and 91494?

Greatest common factor (GCF) of 91488 and 91494 is 6.

GCF(91488,91494) = 6

We will now calculate the prime factors of 91488 and 91494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91488 and 91494.

How to find the GCF of 91488 and 91494?

We will first find the prime factorization of 91488 and 91494. After we will calculate the factors of 91488 and 91494 and find the biggest common factor number .

Step-1: Prime Factorization of 91488

Prime factors of 91488 are 2, 3, 953. Prime factorization of 91488 in exponential form is:

91488 = 2⁵ × 3¹ × 953¹

Step-2: 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-3: Factors of 91488

List of positive integer factors of 91488 that divides 91488 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 953, 1906, 2859, 3812, 5718, 7624, 11436, 15248, 22872, 30496, 45744

Step-4: Factors of 91494

List of positive integer factors of 91494 that divides 91488 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91488 and 91494. The biggest common factor number is the GCF number.
So the greatest common factor 91488 and 91494 is 6.

Also check out the Least Common Multiple of 91488 and 91494