What is the Greatest Common Factor of 91450 and 91465?

Greatest common factor (GCF) of 91450 and 91465 is 5.

GCF(91450,91465) = 5

We will now calculate the prime factors of 91450 and 91465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91450 and 91465.

How to find the GCF of 91450 and 91465?

We will first find the prime factorization of 91450 and 91465. After we will calculate the factors of 91450 and 91465 and find the biggest common factor number .

Step-1: Prime Factorization of 91450

Prime factors of 91450 are 2, 5, 31, 59. Prime factorization of 91450 in exponential form is:

91450 = 2¹ × 5² × 31¹ × 59¹

Step-2: Prime Factorization of 91465

Prime factors of 91465 are 5, 11, 1663. Prime factorization of 91465 in exponential form is:

91465 = 5¹ × 11¹ × 1663¹

Step-3: Factors of 91450

List of positive integer factors of 91450 that divides 91450 without a remainder.

1, 2, 5, 10, 25, 31, 50, 59, 62, 118, 155, 295, 310, 590, 775, 1475, 1550, 1829, 2950, 3658, 9145, 18290, 45725

Step-4: Factors of 91465

List of positive integer factors of 91465 that divides 91450 without a remainder.

1, 5, 11, 55, 1663, 8315, 18293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91450 and 91465. The biggest common factor number is the GCF number.
So the greatest common factor 91450 and 91465 is 5.

Also check out the Least Common Multiple of 91450 and 91465