What is the Greatest Common Factor of 95310 and 95320?

Greatest common factor (GCF) of 95310 and 95320 is 10.

GCF(95310,95320) = 10

We will now calculate the prime factors of 95310 and 95320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95310 and 95320.

How to find the GCF of 95310 and 95320?

We will first find the prime factorization of 95310 and 95320. After we will calculate the factors of 95310 and 95320 and find the biggest common factor number .

Step-1: Prime Factorization of 95310

Prime factors of 95310 are 2, 3, 5, 353. Prime factorization of 95310 in exponential form is:

95310 = 2¹ × 3³ × 5¹ × 353¹

Step-2: Prime Factorization of 95320

Prime factors of 95320 are 2, 5, 2383. Prime factorization of 95320 in exponential form is:

95320 = 2³ × 5¹ × 2383¹

Step-3: Factors of 95310

List of positive integer factors of 95310 that divides 95310 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 353, 706, 1059, 1765, 2118, 3177, 3530, 5295, 6354, 9531, 10590, 15885, 19062, 31770, 47655

Step-4: Factors of 95320

List of positive integer factors of 95320 that divides 95310 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2383, 4766, 9532, 11915, 19064, 23830, 47660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95310 and 95320. The biggest common factor number is the GCF number.
So the greatest common factor 95310 and 95320 is 10.

Also check out the Least Common Multiple of 95310 and 95320