What is the Greatest Common Factor of 95445 and 95460?

Greatest common factor (GCF) of 95445 and 95460 is 15.

GCF(95445,95460) = 15

We will now calculate the prime factors of 95445 and 95460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95445 and 95460.

How to find the GCF of 95445 and 95460?

We will first find the prime factorization of 95445 and 95460. After we will calculate the factors of 95445 and 95460 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 95460

Prime factors of 95460 are 2, 3, 5, 37, 43. Prime factorization of 95460 in exponential form is:

95460 = 2² × 3¹ × 5¹ × 37¹ × 43¹

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 95460

List of positive integer factors of 95460 that divides 95445 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 43, 60, 74, 86, 111, 129, 148, 172, 185, 215, 222, 258, 370, 430, 444, 516, 555, 645, 740, 860, 1110, 1290, 1591, 2220, 2580, 3182, 4773, 6364, 7955, 9546, 15910, 19092, 23865, 31820, 47730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95445 and 95460. The biggest common factor number is the GCF number.
So the greatest common factor 95445 and 95460 is 15.

Also check out the Least Common Multiple of 95445 and 95460