What is the Greatest Common Factor of 69428 and 69445?

Greatest common factor (GCF) of 69428 and 69445 is 17.

GCF(69428,69445) = 17

We will now calculate the prime factors of 69428 and 69445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69428 and 69445.

How to find the GCF of 69428 and 69445?

We will first find the prime factorization of 69428 and 69445. After we will calculate the factors of 69428 and 69445 and find the biggest common factor number .

Step-1: Prime Factorization of 69428

Prime factors of 69428 are 2, 17, 1021. Prime factorization of 69428 in exponential form is:

69428 = 2² × 17¹ × 1021¹

Step-2: Prime Factorization of 69445

Prime factors of 69445 are 5, 17, 19, 43. Prime factorization of 69445 in exponential form is:

69445 = 5¹ × 17¹ × 19¹ × 43¹

Step-3: Factors of 69428

List of positive integer factors of 69428 that divides 69428 without a remainder.

1, 2, 4, 17, 34, 68, 1021, 2042, 4084, 17357, 34714

Step-4: Factors of 69445

List of positive integer factors of 69445 that divides 69428 without a remainder.

1, 5, 17, 19, 43, 85, 95, 215, 323, 731, 817, 1615, 3655, 4085, 13889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69428 and 69445. The biggest common factor number is the GCF number.
So the greatest common factor 69428 and 69445 is 17.

Also check out the Least Common Multiple of 69428 and 69445