What is the Greatest Common Factor of 24119 and 24135?

Greatest common factor (GCF) of 24119 and 24135 is 1.

GCF(24119,24135) = 1

We will now calculate the prime factors of 24119 and 24135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24119 and 24135.

How to find the GCF of 24119 and 24135?

We will first find the prime factorization of 24119 and 24135. After we will calculate the factors of 24119 and 24135 and find the biggest common factor number .

Step-1: Prime Factorization of 24119

Prime factors of 24119 are 89, 271. Prime factorization of 24119 in exponential form is:

24119 = 89¹ × 271¹

Step-2: Prime Factorization of 24135

Prime factors of 24135 are 3, 5, 1609. Prime factorization of 24135 in exponential form is:

24135 = 3¹ × 5¹ × 1609¹

Step-3: Factors of 24119

List of positive integer factors of 24119 that divides 24119 without a remainder.

1, 89, 271

Step-4: Factors of 24135

List of positive integer factors of 24135 that divides 24119 without a remainder.

1, 3, 5, 15, 1609, 4827, 8045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24119 and 24135. The biggest common factor number is the GCF number.
So the greatest common factor 24119 and 24135 is 1.

Also check out the Least Common Multiple of 24119 and 24135