What is the Greatest Common Factor of 95448 and 95465?

Greatest common factor (GCF) of 95448 and 95465 is 1.

GCF(95448,95465) = 1

We will now calculate the prime factors of 95448 and 95465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95448 and 95465.

How to find the GCF of 95448 and 95465?

We will first find the prime factorization of 95448 and 95465. After we will calculate the factors of 95448 and 95465 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95465

Prime factors of 95465 are 5, 61, 313. Prime factorization of 95465 in exponential form is:

95465 = 5¹ × 61¹ × 313¹

Step-3: Factors of 95448

List of positive integer factors of 95448 that divides 95448 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

Step-4: Factors of 95465

List of positive integer factors of 95465 that divides 95448 without a remainder.

1, 5, 61, 305, 313, 1565, 19093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95448 and 95465. The biggest common factor number is the GCF number.
So the greatest common factor 95448 and 95465 is 1.

Also check out the Least Common Multiple of 95448 and 95465