What is the Greatest Common Factor of 23435 and 23445?

Greatest common factor (GCF) of 23435 and 23445 is 5.

GCF(23435,23445) = 5

We will now calculate the prime factors of 23435 and 23445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23435 and 23445.

How to find the GCF of 23435 and 23445?

We will first find the prime factorization of 23435 and 23445. After we will calculate the factors of 23435 and 23445 and find the biggest common factor number .

Step-1: Prime Factorization of 23435

Prime factors of 23435 are 5, 43, 109. Prime factorization of 23435 in exponential form is:

23435 = 5¹ × 43¹ × 109¹

Step-2: Prime Factorization of 23445

Prime factors of 23445 are 3, 5, 521. Prime factorization of 23445 in exponential form is:

23445 = 3² × 5¹ × 521¹

Step-3: Factors of 23435

List of positive integer factors of 23435 that divides 23435 without a remainder.

1, 5, 43, 109, 215, 545, 4687

Step-4: Factors of 23445

List of positive integer factors of 23445 that divides 23435 without a remainder.

1, 3, 5, 9, 15, 45, 521, 1563, 2605, 4689, 7815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23435 and 23445. The biggest common factor number is the GCF number.
So the greatest common factor 23435 and 23445 is 5.

Also check out the Least Common Multiple of 23435 and 23445