What is the Greatest Common Factor of 91885 and 91902?

Greatest common factor (GCF) of 91885 and 91902 is 17.

GCF(91885,91902) = 17

We will now calculate the prime factors of 91885 and 91902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91885 and 91902.

How to find the GCF of 91885 and 91902?

We will first find the prime factorization of 91885 and 91902. After we will calculate the factors of 91885 and 91902 and find the biggest common factor number .

Step-1: Prime Factorization of 91885

Prime factors of 91885 are 5, 17, 23, 47. Prime factorization of 91885 in exponential form is:

91885 = 5¹ × 17¹ × 23¹ × 47¹

Step-2: Prime Factorization of 91902

Prime factors of 91902 are 2, 3, 17, 53. Prime factorization of 91902 in exponential form is:

91902 = 2¹ × 3¹ × 17² × 53¹

Step-3: Factors of 91885

List of positive integer factors of 91885 that divides 91885 without a remainder.

1, 5, 17, 23, 47, 85, 115, 235, 391, 799, 1081, 1955, 3995, 5405, 18377

Step-4: Factors of 91902

List of positive integer factors of 91902 that divides 91885 without a remainder.

1, 2, 3, 6, 17, 34, 51, 53, 102, 106, 159, 289, 318, 578, 867, 901, 1734, 1802, 2703, 5406, 15317, 30634, 45951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91885 and 91902. The biggest common factor number is the GCF number.
So the greatest common factor 91885 and 91902 is 17.

Also check out the Least Common Multiple of 91885 and 91902