What is the Greatest Common Factor of 95604 and 95613?

Greatest common factor (GCF) of 95604 and 95613 is 3.

GCF(95604,95613) = 3

We will now calculate the prime factors of 95604 and 95613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95604 and 95613.

How to find the GCF of 95604 and 95613?

We will first find the prime factorization of 95604 and 95613. After we will calculate the factors of 95604 and 95613 and find the biggest common factor number .

Step-1: Prime Factorization of 95604

Prime factors of 95604 are 2, 3, 31, 257. Prime factorization of 95604 in exponential form is:

95604 = 2² × 3¹ × 31¹ × 257¹

Step-2: Prime Factorization of 95613

Prime factors of 95613 are 3, 7, 29, 157. Prime factorization of 95613 in exponential form is:

95613 = 3¹ × 7¹ × 29¹ × 157¹

Step-3: Factors of 95604

List of positive integer factors of 95604 that divides 95604 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 257, 372, 514, 771, 1028, 1542, 3084, 7967, 15934, 23901, 31868, 47802

Step-4: Factors of 95613

List of positive integer factors of 95613 that divides 95604 without a remainder.

1, 3, 7, 21, 29, 87, 157, 203, 471, 609, 1099, 3297, 4553, 13659, 31871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95604 and 95613. The biggest common factor number is the GCF number.
So the greatest common factor 95604 and 95613 is 3.

Also check out the Least Common Multiple of 95604 and 95613