What is the Greatest Common Factor of 91014 and 91025?

Greatest common factor (GCF) of 91014 and 91025 is 11.

GCF(91014,91025) = 11

We will now calculate the prime factors of 91014 and 91025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91014 and 91025.

How to find the GCF of 91014 and 91025?

We will first find the prime factorization of 91014 and 91025. After we will calculate the factors of 91014 and 91025 and find the biggest common factor number .

Step-1: Prime Factorization of 91014

Prime factors of 91014 are 2, 3, 7, 11, 197. Prime factorization of 91014 in exponential form is:

91014 = 2¹ × 3¹ × 7¹ × 11¹ × 197¹

Step-2: Prime Factorization of 91025

Prime factors of 91025 are 5, 11, 331. Prime factorization of 91025 in exponential form is:

91025 = 5² × 11¹ × 331¹

Step-3: Factors of 91014

List of positive integer factors of 91014 that divides 91014 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 197, 231, 394, 462, 591, 1182, 1379, 2167, 2758, 4137, 4334, 6501, 8274, 13002, 15169, 30338, 45507

Step-4: Factors of 91025

List of positive integer factors of 91025 that divides 91014 without a remainder.

1, 5, 11, 25, 55, 275, 331, 1655, 3641, 8275, 18205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91014 and 91025. The biggest common factor number is the GCF number.
So the greatest common factor 91014 and 91025 is 11.

Also check out the Least Common Multiple of 91014 and 91025