What is the Greatest Common Factor of 95420 and 95430?

Greatest common factor (GCF) of 95420 and 95430 is 10.

GCF(95420,95430) = 10

We will now calculate the prime factors of 95420 and 95430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95420 and 95430.

How to find the GCF of 95420 and 95430?

We will first find the prime factorization of 95420 and 95430. After we will calculate the factors of 95420 and 95430 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95430

Prime factors of 95430 are 2, 3, 5, 3181. Prime factorization of 95430 in exponential form is:

95430 = 2¹ × 3¹ × 5¹ × 3181¹

Step-3: Factors of 95420

List of positive integer factors of 95420 that divides 95420 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

Step-4: Factors of 95430

List of positive integer factors of 95430 that divides 95420 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3181, 6362, 9543, 15905, 19086, 31810, 47715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95420 and 95430. The biggest common factor number is the GCF number.
So the greatest common factor 95420 and 95430 is 10.

Also check out the Least Common Multiple of 95420 and 95430