What is the Greatest Common Factor of 91035 and 91050?

Greatest common factor (GCF) of 91035 and 91050 is 15.

GCF(91035,91050) = 15

We will now calculate the prime factors of 91035 and 91050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91035 and 91050.

How to find the GCF of 91035 and 91050?

We will first find the prime factorization of 91035 and 91050. After we will calculate the factors of 91035 and 91050 and find the biggest common factor number .

Step-1: Prime Factorization of 91035

Prime factors of 91035 are 3, 5, 7, 17. Prime factorization of 91035 in exponential form is:

91035 = 3² × 5¹ × 7¹ × 17²

Step-2: Prime Factorization of 91050

Prime factors of 91050 are 2, 3, 5, 607. Prime factorization of 91050 in exponential form is:

91050 = 2¹ × 3¹ × 5² × 607¹

Step-3: Factors of 91035

List of positive integer factors of 91035 that divides 91035 without a remainder.

1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 289, 315, 357, 595, 765, 867, 1071, 1445, 1785, 2023, 2601, 4335, 5355, 6069, 10115, 13005, 18207, 30345

Step-4: Factors of 91050

List of positive integer factors of 91050 that divides 91035 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 607, 1214, 1821, 3035, 3642, 6070, 9105, 15175, 18210, 30350, 45525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91035 and 91050. The biggest common factor number is the GCF number.
So the greatest common factor 91035 and 91050 is 15.

Also check out the Least Common Multiple of 91035 and 91050