What is the Greatest Common Factor of 91028 and 91035?

Greatest common factor (GCF) of 91028 and 91035 is 7.

GCF(91028,91035) = 7

We will now calculate the prime factors of 91028 and 91035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91028 and 91035.

How to find the GCF of 91028 and 91035?

We will first find the prime factorization of 91028 and 91035. After we will calculate the factors of 91028 and 91035 and find the biggest common factor number .

Step-1: Prime Factorization of 91028

Prime factors of 91028 are 2, 7, 3251. Prime factorization of 91028 in exponential form is:

91028 = 2² × 7¹ × 3251¹

Step-2: 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-3: Factors of 91028

List of positive integer factors of 91028 that divides 91028 without a remainder.

1, 2, 4, 7, 14, 28, 3251, 6502, 13004, 22757, 45514

Step-4: Factors of 91035

List of positive integer factors of 91035 that divides 91028 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91028 and 91035. The biggest common factor number is the GCF number.
So the greatest common factor 91028 and 91035 is 7.

Also check out the Least Common Multiple of 91028 and 91035