What is the Greatest Common Factor of 95460 and 95476?

Greatest common factor (GCF) of 95460 and 95476 is 4.

GCF(95460,95476) = 4

We will now calculate the prime factors of 95460 and 95476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95460 and 95476.

How to find the GCF of 95460 and 95476?

We will first find the prime factorization of 95460 and 95476. After we will calculate the factors of 95460 and 95476 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 95476

Prime factors of 95476 are 2, 23869. Prime factorization of 95476 in exponential form is:

95476 = 2² × 23869¹

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 95476

List of positive integer factors of 95476 that divides 95460 without a remainder.

1, 2, 4, 23869, 47738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95460 and 95476. The biggest common factor number is the GCF number.
So the greatest common factor 95460 and 95476 is 4.

Also check out the Least Common Multiple of 95460 and 95476