What is the Greatest Common Factor of 95604 and 95616?

Greatest common factor (GCF) of 95604 and 95616 is 12.

GCF(95604,95616) = 12

We will now calculate the prime factors of 95604 and 95616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95604 and 95616.

How to find the GCF of 95604 and 95616?

We will first find the prime factorization of 95604 and 95616. After we will calculate the factors of 95604 and 95616 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 95616

Prime factors of 95616 are 2, 3, 83. Prime factorization of 95616 in exponential form is:

95616 = 2⁷ × 3² × 83¹

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 95616

List of positive integer factors of 95616 that divides 95604 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 83, 96, 128, 144, 166, 192, 249, 288, 332, 384, 498, 576, 664, 747, 996, 1152, 1328, 1494, 1992, 2656, 2988, 3984, 5312, 5976, 7968, 10624, 11952, 15936, 23904, 31872, 47808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95604 and 95616. The biggest common factor number is the GCF number.
So the greatest common factor 95604 and 95616 is 12.

Also check out the Least Common Multiple of 95604 and 95616