What is the Greatest Common Factor of 95364 and 95382?

Greatest common factor (GCF) of 95364 and 95382 is 18.

GCF(95364,95382) = 18

We will now calculate the prime factors of 95364 and 95382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95364 and 95382.

How to find the GCF of 95364 and 95382?

We will first find the prime factorization of 95364 and 95382. After we will calculate the factors of 95364 and 95382 and find the biggest common factor number .

Step-1: Prime Factorization of 95364

Prime factors of 95364 are 2, 3, 883. Prime factorization of 95364 in exponential form is:

95364 = 2² × 3³ × 883¹

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 95364

List of positive integer factors of 95364 that divides 95364 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 883, 1766, 2649, 3532, 5298, 7947, 10596, 15894, 23841, 31788, 47682

Step-4: Factors of 95382

List of positive integer factors of 95382 that divides 95364 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 95364 and 95382. The biggest common factor number is the GCF number.
So the greatest common factor 95364 and 95382 is 18.

Also check out the Least Common Multiple of 95364 and 95382