What is the Greatest Common Factor of 23420 and 23435?

Greatest common factor (GCF) of 23420 and 23435 is 5.

GCF(23420,23435) = 5

We will now calculate the prime factors of 23420 and 23435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23420 and 23435.

How to find the GCF of 23420 and 23435?

We will first find the prime factorization of 23420 and 23435. After we will calculate the factors of 23420 and 23435 and find the biggest common factor number .

Step-1: Prime Factorization of 23420

Prime factors of 23420 are 2, 5, 1171. Prime factorization of 23420 in exponential form is:

23420 = 2² × 5¹ × 1171¹

Step-2: 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-3: Factors of 23420

List of positive integer factors of 23420 that divides 23420 without a remainder.

1, 2, 4, 5, 10, 20, 1171, 2342, 4684, 5855, 11710

Step-4: Factors of 23435

List of positive integer factors of 23435 that divides 23420 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23420 and 23435. The biggest common factor number is the GCF number.
So the greatest common factor 23420 and 23435 is 5.

Also check out the Least Common Multiple of 23420 and 23435