What is the Greatest Common Factor of 93465 and 93475?

Greatest common factor (GCF) of 93465 and 93475 is 5.

GCF(93465,93475) = 5

We will now calculate the prime factors of 93465 and 93475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93465 and 93475.

How to find the GCF of 93465 and 93475?

We will first find the prime factorization of 93465 and 93475. After we will calculate the factors of 93465 and 93475 and find the biggest common factor number .

Step-1: Prime Factorization of 93465

Prime factors of 93465 are 3, 5, 31, 67. Prime factorization of 93465 in exponential form is:

93465 = 3² × 5¹ × 31¹ × 67¹

Step-2: Prime Factorization of 93475

Prime factors of 93475 are 5, 3739. Prime factorization of 93475 in exponential form is:

93475 = 5² × 3739¹

Step-3: Factors of 93465

List of positive integer factors of 93465 that divides 93465 without a remainder.

1, 3, 5, 9, 15, 31, 45, 67, 93, 155, 201, 279, 335, 465, 603, 1005, 1395, 2077, 3015, 6231, 10385, 18693, 31155

Step-4: Factors of 93475

List of positive integer factors of 93475 that divides 93465 without a remainder.

1, 5, 25, 3739, 18695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93465 and 93475. The biggest common factor number is the GCF number.
So the greatest common factor 93465 and 93475 is 5.

Also check out the Least Common Multiple of 93465 and 93475