What is the Greatest Common Factor of 24119 and 24127?

Greatest common factor (GCF) of 24119 and 24127 is 1.

GCF(24119,24127) = 1

We will now calculate the prime factors of 24119 and 24127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24119 and 24127.

How to find the GCF of 24119 and 24127?

We will first find the prime factorization of 24119 and 24127. After we will calculate the factors of 24119 and 24127 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 24127

Prime factors of 24127 are 23, 1049. Prime factorization of 24127 in exponential form is:

24127 = 23¹ × 1049¹

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 24127

List of positive integer factors of 24127 that divides 24119 without a remainder.

1, 23, 1049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24119 and 24127. The biggest common factor number is the GCF number.
So the greatest common factor 24119 and 24127 is 1.

Also check out the Least Common Multiple of 24119 and 24127