What is the Greatest Common Factor of 91343 and 91350?

Greatest common factor (GCF) of 91343 and 91350 is 7.

GCF(91343,91350) = 7

We will now calculate the prime factors of 91343 and 91350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91343 and 91350.

How to find the GCF of 91343 and 91350?

We will first find the prime factorization of 91343 and 91350. After we will calculate the factors of 91343 and 91350 and find the biggest common factor number .

Step-1: Prime Factorization of 91343

Prime factors of 91343 are 7, 13049. Prime factorization of 91343 in exponential form is:

91343 = 7¹ × 13049¹

Step-2: Prime Factorization of 91350

Prime factors of 91350 are 2, 3, 5, 7, 29. Prime factorization of 91350 in exponential form is:

91350 = 2¹ × 3² × 5² × 7¹ × 29¹

Step-3: Factors of 91343

List of positive integer factors of 91343 that divides 91343 without a remainder.

1, 7, 13049

Step-4: Factors of 91350

List of positive integer factors of 91350 that divides 91343 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 29, 30, 35, 42, 45, 50, 58, 63, 70, 75, 87, 90, 105, 126, 145, 150, 174, 175, 203, 210, 225, 261, 290, 315, 350, 406, 435, 450, 522, 525, 609, 630, 725, 870, 1015, 1050, 1218, 1305, 1450, 1575, 1827, 2030, 2175, 2610, 3045, 3150, 3654, 4350, 5075, 6090, 6525, 9135, 10150, 13050, 15225, 18270, 30450, 45675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91343 and 91350. The biggest common factor number is the GCF number.
So the greatest common factor 91343 and 91350 is 7.

Also check out the Least Common Multiple of 91343 and 91350