What is the Greatest Common Factor of 93471 and 93485?

Greatest common factor (GCF) of 93471 and 93485 is 7.

GCF(93471,93485) = 7

We will now calculate the prime factors of 93471 and 93485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93471 and 93485.

How to find the GCF of 93471 and 93485?

We will first find the prime factorization of 93471 and 93485. After we will calculate the factors of 93471 and 93485 and find the biggest common factor number .

Step-1: Prime Factorization of 93471

Prime factors of 93471 are 3, 7, 4451. Prime factorization of 93471 in exponential form is:

93471 = 3¹ × 7¹ × 4451¹

Step-2: Prime Factorization of 93485

Prime factors of 93485 are 5, 7, 2671. Prime factorization of 93485 in exponential form is:

93485 = 5¹ × 7¹ × 2671¹

Step-3: Factors of 93471

List of positive integer factors of 93471 that divides 93471 without a remainder.

1, 3, 7, 21, 4451, 13353, 31157

Step-4: Factors of 93485

List of positive integer factors of 93485 that divides 93471 without a remainder.

1, 5, 7, 35, 2671, 13355, 18697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93471 and 93485. The biggest common factor number is the GCF number.
So the greatest common factor 93471 and 93485 is 7.

Also check out the Least Common Multiple of 93471 and 93485