What is the Greatest Common Factor of 91025 and 91042?

Greatest common factor (GCF) of 91025 and 91042 is 1.

GCF(91025,91042) = 1

We will now calculate the prime factors of 91025 and 91042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91025 and 91042.

How to find the GCF of 91025 and 91042?

We will first find the prime factorization of 91025 and 91042. After we will calculate the factors of 91025 and 91042 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91042

Prime factors of 91042 are 2, 7, 929. Prime factorization of 91042 in exponential form is:

91042 = 2¹ × 7² × 929¹

Step-3: Factors of 91025

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

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

Step-4: Factors of 91042

List of positive integer factors of 91042 that divides 91025 without a remainder.

1, 2, 7, 14, 49, 98, 929, 1858, 6503, 13006, 45521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91025 and 91042. The biggest common factor number is the GCF number.
So the greatest common factor 91025 and 91042 is 1.

Also check out the Least Common Multiple of 91025 and 91042