What is the Greatest Common Factor of 95410 and 95420?

Greatest common factor (GCF) of 95410 and 95420 is 10.

GCF(95410,95420) = 10

We will now calculate the prime factors of 95410 and 95420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95410 and 95420.

How to find the GCF of 95410 and 95420?

We will first find the prime factorization of 95410 and 95420. After we will calculate the factors of 95410 and 95420 and find the biggest common factor number .

Step-1: Prime Factorization of 95410

Prime factors of 95410 are 2, 5, 7, 29, 47. Prime factorization of 95410 in exponential form is:

95410 = 2¹ × 5¹ × 7¹ × 29¹ × 47¹

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 95410

List of positive integer factors of 95410 that divides 95410 without a remainder.

1, 2, 5, 7, 10, 14, 29, 35, 47, 58, 70, 94, 145, 203, 235, 290, 329, 406, 470, 658, 1015, 1363, 1645, 2030, 2726, 3290, 6815, 9541, 13630, 19082, 47705

Step-4: Factors of 95420

List of positive integer factors of 95420 that divides 95410 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 95410 and 95420. The biggest common factor number is the GCF number.
So the greatest common factor 95410 and 95420 is 10.

Also check out the Least Common Multiple of 95410 and 95420