What is the Greatest Common Factor of 95407 and 95420?

Greatest common factor (GCF) of 95407 and 95420 is 13.

GCF(95407,95420) = 13

We will now calculate the prime factors of 95407 and 95420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95407 and 95420.

How to find the GCF of 95407 and 95420?

We will first find the prime factorization of 95407 and 95420. After we will calculate the factors of 95407 and 95420 and find the biggest common factor number .

Step-1: Prime Factorization of 95407

Prime factors of 95407 are 13, 41, 179. Prime factorization of 95407 in exponential form is:

95407 = 13¹ × 41¹ × 179¹

Step-2: Prime Factorization of 95420

Prime factors of 95420 are 2, 5, 13, 367. Prime factorization of 95420 in exponential form is:

95420 = 2² × 5¹ × 13¹ × 367¹

Step-3: Factors of 95407

List of positive integer factors of 95407 that divides 95407 without a remainder.

1, 13, 41, 179, 533, 2327, 7339

Step-4: Factors of 95420

List of positive integer factors of 95420 that divides 95407 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 367, 734, 1468, 1835, 3670, 4771, 7340, 9542, 19084, 23855, 47710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95407 and 95420. The biggest common factor number is the GCF number.
So the greatest common factor 95407 and 95420 is 13.

Also check out the Least Common Multiple of 95407 and 95420