What is the Greatest Common Factor of 91025 and 91030?

Greatest common factor (GCF) of 91025 and 91030 is 5.

GCF(91025,91030) = 5

We will now calculate the prime factors of 91025 and 91030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91025 and 91030.

How to find the GCF of 91025 and 91030?

We will first find the prime factorization of 91025 and 91030. After we will calculate the factors of 91025 and 91030 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 91030

Prime factors of 91030 are 2, 5, 9103. Prime factorization of 91030 in exponential form is:

91030 = 2¹ × 5¹ × 9103¹

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 91030

List of positive integer factors of 91030 that divides 91025 without a remainder.

1, 2, 5, 10, 9103, 18206, 45515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91025 and 91030. The biggest common factor number is the GCF number.
So the greatest common factor 91025 and 91030 is 5.

Also check out the Least Common Multiple of 91025 and 91030