What is the Greatest Common Factor of 95430 and 95448?

Greatest common factor (GCF) of 95430 and 95448 is 6.

GCF(95430,95448) = 6

We will now calculate the prime factors of 95430 and 95448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95430 and 95448.

How to find the GCF of 95430 and 95448?

We will first find the prime factorization of 95430 and 95448. After we will calculate the factors of 95430 and 95448 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95448

Prime factors of 95448 are 2, 3, 41, 97. Prime factorization of 95448 in exponential form is:

95448 = 2³ × 3¹ × 41¹ × 97¹

Step-3: Factors of 95430

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

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

Step-4: Factors of 95448

List of positive integer factors of 95448 that divides 95430 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 97, 123, 164, 194, 246, 291, 328, 388, 492, 582, 776, 984, 1164, 2328, 3977, 7954, 11931, 15908, 23862, 31816, 47724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95430 and 95448. The biggest common factor number is the GCF number.
So the greatest common factor 95430 and 95448 is 6.

Also check out the Least Common Multiple of 95430 and 95448