What is the Greatest Common Factor of 52014 and 52023?

Greatest common factor (GCF) of 52014 and 52023 is 3.

GCF(52014,52023) = 3

We will now calculate the prime factors of 52014 and 52023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52014 and 52023.

How to find the GCF of 52014 and 52023?

We will first find the prime factorization of 52014 and 52023. After we will calculate the factors of 52014 and 52023 and find the biggest common factor number .

Step-1: Prime Factorization of 52014

Prime factors of 52014 are 2, 3, 8669. Prime factorization of 52014 in exponential form is:

52014 = 2¹ × 3¹ × 8669¹

Step-2: Prime Factorization of 52023

Prime factors of 52023 are 3, 17341. Prime factorization of 52023 in exponential form is:

52023 = 3¹ × 17341¹

Step-3: Factors of 52014

List of positive integer factors of 52014 that divides 52014 without a remainder.

1, 2, 3, 6, 8669, 17338, 26007

Step-4: Factors of 52023

List of positive integer factors of 52023 that divides 52014 without a remainder.

1, 3, 17341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52014 and 52023. The biggest common factor number is the GCF number.
So the greatest common factor 52014 and 52023 is 3.

Also check out the Least Common Multiple of 52014 and 52023