What is the Greatest Common Factor of 93704 and 93724?

Greatest common factor (GCF) of 93704 and 93724 is 4.

GCF(93704,93724) = 4

We will now calculate the prime factors of 93704 and 93724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93704 and 93724.

How to find the GCF of 93704 and 93724?

We will first find the prime factorization of 93704 and 93724. After we will calculate the factors of 93704 and 93724 and find the biggest common factor number .

Step-1: Prime Factorization of 93704

Prime factors of 93704 are 2, 13, 17, 53. Prime factorization of 93704 in exponential form is:

93704 = 2³ × 13¹ × 17¹ × 53¹

Step-2: Prime Factorization of 93724

Prime factors of 93724 are 2, 23431. Prime factorization of 93724 in exponential form is:

93724 = 2² × 23431¹

Step-3: Factors of 93704

List of positive integer factors of 93704 that divides 93704 without a remainder.

1, 2, 4, 8, 13, 17, 26, 34, 52, 53, 68, 104, 106, 136, 212, 221, 424, 442, 689, 884, 901, 1378, 1768, 1802, 2756, 3604, 5512, 7208, 11713, 23426, 46852

Step-4: Factors of 93724

List of positive integer factors of 93724 that divides 93704 without a remainder.

1, 2, 4, 23431, 46862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93704 and 93724. The biggest common factor number is the GCF number.
So the greatest common factor 93704 and 93724 is 4.

Also check out the Least Common Multiple of 93704 and 93724