What is the Greatest Common Factor of 69434 and 69445?

Greatest common factor (GCF) of 69434 and 69445 is 1.

GCF(69434,69445) = 1

We will now calculate the prime factors of 69434 and 69445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69434 and 69445.

How to find the GCF of 69434 and 69445?

We will first find the prime factorization of 69434 and 69445. After we will calculate the factors of 69434 and 69445 and find the biggest common factor number .

Step-1: Prime Factorization of 69434

Prime factors of 69434 are 2, 149, 233. Prime factorization of 69434 in exponential form is:

69434 = 2¹ × 149¹ × 233¹

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 69434

List of positive integer factors of 69434 that divides 69434 without a remainder.

1, 2, 149, 233, 298, 466, 34717

Step-4: Factors of 69445

List of positive integer factors of 69445 that divides 69434 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 69434 and 69445. The biggest common factor number is the GCF number.
So the greatest common factor 69434 and 69445 is 1.

Also check out the Least Common Multiple of 69434 and 69445