What is the Greatest Common Factor of 95340 and 95360?

Greatest common factor (GCF) of 95340 and 95360 is 20.

GCF(95340,95360) = 20

We will now calculate the prime factors of 95340 and 95360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95340 and 95360.

How to find the GCF of 95340 and 95360?

We will first find the prime factorization of 95340 and 95360. After we will calculate the factors of 95340 and 95360 and find the biggest common factor number .

Step-1: Prime Factorization of 95340

Prime factors of 95340 are 2, 3, 5, 7, 227. Prime factorization of 95340 in exponential form is:

95340 = 2² × 3¹ × 5¹ × 7¹ × 227¹

Step-2: Prime Factorization of 95360

Prime factors of 95360 are 2, 5, 149. Prime factorization of 95360 in exponential form is:

95360 = 2⁷ × 5¹ × 149¹

Step-3: Factors of 95340

List of positive integer factors of 95340 that divides 95340 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 227, 420, 454, 681, 908, 1135, 1362, 1589, 2270, 2724, 3178, 3405, 4540, 4767, 6356, 6810, 7945, 9534, 13620, 15890, 19068, 23835, 31780, 47670

Step-4: Factors of 95360

List of positive integer factors of 95360 that divides 95340 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 149, 160, 298, 320, 596, 640, 745, 1192, 1490, 2384, 2980, 4768, 5960, 9536, 11920, 19072, 23840, 47680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95340 and 95360. The biggest common factor number is the GCF number.
So the greatest common factor 95340 and 95360 is 20.

Also check out the Least Common Multiple of 95340 and 95360