What is the Greatest Common Factor of 70448 and 70465?

Greatest common factor (GCF) of 70448 and 70465 is 17.

GCF(70448,70465) = 17

We will now calculate the prime factors of 70448 and 70465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70448 and 70465.

How to find the GCF of 70448 and 70465?

We will first find the prime factorization of 70448 and 70465. After we will calculate the factors of 70448 and 70465 and find the biggest common factor number .

Step-1: Prime Factorization of 70448

Prime factors of 70448 are 2, 7, 17, 37. Prime factorization of 70448 in exponential form is:

70448 = 2⁴ × 7¹ × 17¹ × 37¹

Step-2: Prime Factorization of 70465

Prime factors of 70465 are 5, 17, 829. Prime factorization of 70465 in exponential form is:

70465 = 5¹ × 17¹ × 829¹

Step-3: Factors of 70448

List of positive integer factors of 70448 that divides 70448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 37, 56, 68, 74, 112, 119, 136, 148, 238, 259, 272, 296, 476, 518, 592, 629, 952, 1036, 1258, 1904, 2072, 2516, 4144, 4403, 5032, 8806, 10064, 17612, 35224

Step-4: Factors of 70465

List of positive integer factors of 70465 that divides 70448 without a remainder.

1, 5, 17, 85, 829, 4145, 14093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70448 and 70465. The biggest common factor number is the GCF number.
So the greatest common factor 70448 and 70465 is 17.

Also check out the Least Common Multiple of 70448 and 70465