What is the Greatest Common Factor of 52429 and 52442?

Greatest common factor (GCF) of 52429 and 52442 is 13.

GCF(52429,52442) = 13

We will now calculate the prime factors of 52429 and 52442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52429 and 52442.

How to find the GCF of 52429 and 52442?

We will first find the prime factorization of 52429 and 52442. After we will calculate the factors of 52429 and 52442 and find the biggest common factor number .

Step-1: Prime Factorization of 52429

Prime factors of 52429 are 13, 37, 109. Prime factorization of 52429 in exponential form is:

52429 = 13¹ × 37¹ × 109¹

Step-2: Prime Factorization of 52442

Prime factors of 52442 are 2, 13, 2017. Prime factorization of 52442 in exponential form is:

52442 = 2¹ × 13¹ × 2017¹

Step-3: Factors of 52429

List of positive integer factors of 52429 that divides 52429 without a remainder.

1, 13, 37, 109, 481, 1417, 4033

Step-4: Factors of 52442

List of positive integer factors of 52442 that divides 52429 without a remainder.

1, 2, 13, 26, 2017, 4034, 26221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52429 and 52442. The biggest common factor number is the GCF number.
So the greatest common factor 52429 and 52442 is 13.

Also check out the Least Common Multiple of 52429 and 52442