What is the Greatest Common Factor of 95431 and 95448?

Greatest common factor (GCF) of 95431 and 95448 is 1.

GCF(95431,95448) = 1

We will now calculate the prime factors of 95431 and 95448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95431 and 95448.

How to find the GCF of 95431 and 95448?

We will first find the prime factorization of 95431 and 95448. After we will calculate the factors of 95431 and 95448 and find the biggest common factor number .

Step-1: Prime Factorization of 95431

Prime factors of 95431 are 7, 13633. Prime factorization of 95431 in exponential form is:

95431 = 7¹ × 13633¹

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 95431

List of positive integer factors of 95431 that divides 95431 without a remainder.

1, 7, 13633

Step-4: Factors of 95448

List of positive integer factors of 95448 that divides 95431 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 95431 and 95448. The biggest common factor number is the GCF number.
So the greatest common factor 95431 and 95448 is 1.

Also check out the Least Common Multiple of 95431 and 95448