What is the Greatest Common Factor of 95436 and 95450?

Greatest common factor (GCF) of 95436 and 95450 is 2.

GCF(95436,95450) = 2

We will now calculate the prime factors of 95436 and 95450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95436 and 95450.

How to find the GCF of 95436 and 95450?

We will first find the prime factorization of 95436 and 95450. After we will calculate the factors of 95436 and 95450 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 95450

Prime factors of 95450 are 2, 5, 23, 83. Prime factorization of 95450 in exponential form is:

95450 = 2¹ × 5² × 23¹ × 83¹

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 95450

List of positive integer factors of 95450 that divides 95436 without a remainder.

1, 2, 5, 10, 23, 25, 46, 50, 83, 115, 166, 230, 415, 575, 830, 1150, 1909, 2075, 3818, 4150, 9545, 19090, 47725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95436 and 95450. The biggest common factor number is the GCF number.
So the greatest common factor 95436 and 95450 is 2.

Also check out the Least Common Multiple of 95436 and 95450