What is the Greatest Common Factor of 95616 and 95634?

Greatest common factor (GCF) of 95616 and 95634 is 18.

GCF(95616,95634) = 18

We will now calculate the prime factors of 95616 and 95634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95616 and 95634.

How to find the GCF of 95616 and 95634?

We will first find the prime factorization of 95616 and 95634. After we will calculate the factors of 95616 and 95634 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95634

Prime factors of 95634 are 2, 3, 7, 11, 23. Prime factorization of 95634 in exponential form is:

95634 = 2¹ × 3³ × 7¹ × 11¹ × 23¹

Step-3: Factors of 95616

List of positive integer factors of 95616 that divides 95616 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

Step-4: Factors of 95634

List of positive integer factors of 95634 that divides 95616 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 23, 27, 33, 42, 46, 54, 63, 66, 69, 77, 99, 126, 138, 154, 161, 189, 198, 207, 231, 253, 297, 322, 378, 414, 462, 483, 506, 594, 621, 693, 759, 966, 1242, 1386, 1449, 1518, 1771, 2079, 2277, 2898, 3542, 4158, 4347, 4554, 5313, 6831, 8694, 10626, 13662, 15939, 31878, 47817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95616 and 95634. The biggest common factor number is the GCF number.
So the greatest common factor 95616 and 95634 is 18.

Also check out the Least Common Multiple of 95616 and 95634