What is the Greatest Common Factor of 95460 and 95469?

Greatest common factor (GCF) of 95460 and 95469 is 3.

GCF(95460,95469) = 3

We will now calculate the prime factors of 95460 and 95469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95460 and 95469.

How to find the GCF of 95460 and 95469?

We will first find the prime factorization of 95460 and 95469. After we will calculate the factors of 95460 and 95469 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95469

Prime factors of 95469 are 3, 11, 263. Prime factorization of 95469 in exponential form is:

95469 = 3¹ × 11² × 263¹

Step-3: Factors of 95460

List of positive integer factors of 95460 that divides 95460 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

Step-4: Factors of 95469

List of positive integer factors of 95469 that divides 95460 without a remainder.

1, 3, 11, 33, 121, 263, 363, 789, 2893, 8679, 31823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95460 and 95469. The biggest common factor number is the GCF number.
So the greatest common factor 95460 and 95469 is 3.

Also check out the Least Common Multiple of 95460 and 95469