What is the Greatest Common Factor of 95436 and 95444?

Greatest common factor (GCF) of 95436 and 95444 is 4.

GCF(95436,95444) = 4

We will now calculate the prime factors of 95436 and 95444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95436 and 95444.

How to find the GCF of 95436 and 95444?

We will first find the prime factorization of 95436 and 95444. After we will calculate the factors of 95436 and 95444 and find the biggest common factor number .

Step-1: Prime Factorization of 95436

Prime factors of 95436 are 2, 3, 11, 241. Prime factorization of 95436 in exponential form is:

95436 = 2² × 3² × 11¹ × 241¹

Step-2: Prime Factorization of 95444

Prime factors of 95444 are 2, 107, 223. Prime factorization of 95444 in exponential form is:

95444 = 2² × 107¹ × 223¹

Step-3: Factors of 95436

List of positive integer factors of 95436 that divides 95436 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 241, 396, 482, 723, 964, 1446, 2169, 2651, 2892, 4338, 5302, 7953, 8676, 10604, 15906, 23859, 31812, 47718

Step-4: Factors of 95444

List of positive integer factors of 95444 that divides 95436 without a remainder.

1, 2, 4, 107, 214, 223, 428, 446, 892, 23861, 47722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95436 and 95444. The biggest common factor number is the GCF number.
So the greatest common factor 95436 and 95444 is 4.

Also check out the Least Common Multiple of 95436 and 95444