What is the Greatest Common Factor of 95634 and 95642?

Greatest common factor (GCF) of 95634 and 95642 is 2.

GCF(95634,95642) = 2

We will now calculate the prime factors of 95634 and 95642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95634 and 95642.

How to find the GCF of 95634 and 95642?

We will first find the prime factorization of 95634 and 95642. After we will calculate the factors of 95634 and 95642 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95642

Prime factors of 95642 are 2, 17, 29, 97. Prime factorization of 95642 in exponential form is:

95642 = 2¹ × 17¹ × 29¹ × 97¹

Step-3: Factors of 95634

List of positive integer factors of 95634 that divides 95634 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

Step-4: Factors of 95642

List of positive integer factors of 95642 that divides 95634 without a remainder.

1, 2, 17, 29, 34, 58, 97, 194, 493, 986, 1649, 2813, 3298, 5626, 47821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95634 and 95642. The biggest common factor number is the GCF number.
So the greatest common factor 95634 and 95642 is 2.

Also check out the Least Common Multiple of 95634 and 95642