What is the Greatest Common Factor of 95368 and 95382?

Greatest common factor (GCF) of 95368 and 95382 is 14.

GCF(95368,95382) = 14

We will now calculate the prime factors of 95368 and 95382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95368 and 95382.

How to find the GCF of 95368 and 95382?

We will first find the prime factorization of 95368 and 95382. After we will calculate the factors of 95368 and 95382 and find the biggest common factor number .

Step-1: Prime Factorization of 95368

Prime factors of 95368 are 2, 7, 13, 131. Prime factorization of 95368 in exponential form is:

95368 = 2³ × 7¹ × 13¹ × 131¹

Step-2: Prime Factorization of 95382

Prime factors of 95382 are 2, 3, 7, 757. Prime factorization of 95382 in exponential form is:

95382 = 2¹ × 3² × 7¹ × 757¹

Step-3: Factors of 95368

List of positive integer factors of 95368 that divides 95368 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 131, 182, 262, 364, 524, 728, 917, 1048, 1703, 1834, 3406, 3668, 6812, 7336, 11921, 13624, 23842, 47684

Step-4: Factors of 95382

List of positive integer factors of 95382 that divides 95368 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 757, 1514, 2271, 4542, 5299, 6813, 10598, 13626, 15897, 31794, 47691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95368 and 95382. The biggest common factor number is the GCF number.
So the greatest common factor 95368 and 95382 is 14.

Also check out the Least Common Multiple of 95368 and 95382