What is the Greatest Common Factor of 70433 and 70448?

Greatest common factor (GCF) of 70433 and 70448 is 1.

GCF(70433,70448) = 1

We will now calculate the prime factors of 70433 and 70448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70433 and 70448.

How to find the GCF of 70433 and 70448?

We will first find the prime factorization of 70433 and 70448. After we will calculate the factors of 70433 and 70448 and find the biggest common factor number .

Step-1: Prime Factorization of 70433

Prime factors of 70433 are 11, 19, 337. Prime factorization of 70433 in exponential form is:

70433 = 11¹ × 19¹ × 337¹

Step-2: 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-3: Factors of 70433

List of positive integer factors of 70433 that divides 70433 without a remainder.

1, 11, 19, 209, 337, 3707, 6403

Step-4: Factors of 70448

List of positive integer factors of 70448 that divides 70433 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70433 and 70448. The biggest common factor number is the GCF number.
So the greatest common factor 70433 and 70448 is 1.

Also check out the Least Common Multiple of 70433 and 70448