What is the Greatest Common Factor of 91350 and 91370?

Greatest common factor (GCF) of 91350 and 91370 is 10.

GCF(91350,91370) = 10

We will now calculate the prime factors of 91350 and 91370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91350 and 91370.

How to find the GCF of 91350 and 91370?

We will first find the prime factorization of 91350 and 91370. After we will calculate the factors of 91350 and 91370 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91370

Prime factors of 91370 are 2, 5, 9137. Prime factorization of 91370 in exponential form is:

91370 = 2¹ × 5¹ × 9137¹

Step-3: Factors of 91350

List of positive integer factors of 91350 that divides 91350 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

Step-4: Factors of 91370

List of positive integer factors of 91370 that divides 91350 without a remainder.

1, 2, 5, 10, 9137, 18274, 45685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91350 and 91370. The biggest common factor number is the GCF number.
So the greatest common factor 91350 and 91370 is 10.

Also check out the Least Common Multiple of 91350 and 91370