What is the Greatest Common Factor of 95445 and 95463?

Greatest common factor (GCF) of 95445 and 95463 is 9.

GCF(95445,95463) = 9

We will now calculate the prime factors of 95445 and 95463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95445 and 95463.

How to find the GCF of 95445 and 95463?

We will first find the prime factorization of 95445 and 95463. After we will calculate the factors of 95445 and 95463 and find the biggest common factor number .

Step-1: Prime Factorization of 95445

Prime factors of 95445 are 3, 5, 7, 101. Prime factorization of 95445 in exponential form is:

95445 = 3³ × 5¹ × 7¹ × 101¹

Step-2: Prime Factorization of 95463

Prime factors of 95463 are 3, 10607. Prime factorization of 95463 in exponential form is:

95463 = 3² × 10607¹

Step-3: Factors of 95445

List of positive integer factors of 95445 that divides 95445 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 101, 105, 135, 189, 303, 315, 505, 707, 909, 945, 1515, 2121, 2727, 3535, 4545, 6363, 10605, 13635, 19089, 31815

Step-4: Factors of 95463

List of positive integer factors of 95463 that divides 95445 without a remainder.

1, 3, 9, 10607, 31821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95445 and 95463. The biggest common factor number is the GCF number.
So the greatest common factor 95445 and 95463 is 9.

Also check out the Least Common Multiple of 95445 and 95463