What is the Greatest Common Factor of 93460 and 93472?

Greatest common factor (GCF) of 93460 and 93472 is 4.

GCF(93460,93472) = 4

We will now calculate the prime factors of 93460 and 93472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93460 and 93472.

How to find the GCF of 93460 and 93472?

We will first find the prime factorization of 93460 and 93472. After we will calculate the factors of 93460 and 93472 and find the biggest common factor number .

Step-1: Prime Factorization of 93460

Prime factors of 93460 are 2, 5, 4673. Prime factorization of 93460 in exponential form is:

93460 = 2² × 5¹ × 4673¹

Step-2: Prime Factorization of 93472

Prime factors of 93472 are 2, 23, 127. Prime factorization of 93472 in exponential form is:

93472 = 2⁵ × 23¹ × 127¹

Step-3: Factors of 93460

List of positive integer factors of 93460 that divides 93460 without a remainder.

1, 2, 4, 5, 10, 20, 4673, 9346, 18692, 23365, 46730

Step-4: Factors of 93472

List of positive integer factors of 93472 that divides 93460 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 127, 184, 254, 368, 508, 736, 1016, 2032, 2921, 4064, 5842, 11684, 23368, 46736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93460 and 93472. The biggest common factor number is the GCF number.
So the greatest common factor 93460 and 93472 is 4.

Also check out the Least Common Multiple of 93460 and 93472