What is the Greatest Common Factor of 43239 and 43253?

Greatest common factor (GCF) of 43239 and 43253 is 7.

GCF(43239,43253) = 7

We will now calculate the prime factors of 43239 and 43253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43239 and 43253.

How to find the GCF of 43239 and 43253?

We will first find the prime factorization of 43239 and 43253. After we will calculate the factors of 43239 and 43253 and find the biggest common factor number .

Step-1: Prime Factorization of 43239

Prime factors of 43239 are 3, 7, 29, 71. Prime factorization of 43239 in exponential form is:

43239 = 3¹ × 7¹ × 29¹ × 71¹

Step-2: Prime Factorization of 43253

Prime factors of 43253 are 7, 37, 167. Prime factorization of 43253 in exponential form is:

43253 = 7¹ × 37¹ × 167¹

Step-3: Factors of 43239

List of positive integer factors of 43239 that divides 43239 without a remainder.

1, 3, 7, 21, 29, 71, 87, 203, 213, 497, 609, 1491, 2059, 6177, 14413

Step-4: Factors of 43253

List of positive integer factors of 43253 that divides 43239 without a remainder.

1, 7, 37, 167, 259, 1169, 6179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43239 and 43253. The biggest common factor number is the GCF number.
So the greatest common factor 43239 and 43253 is 7.

Also check out the Least Common Multiple of 43239 and 43253