What is the Greatest Common Factor of 52031 and 52045?

Greatest common factor (GCF) of 52031 and 52045 is 7.

GCF(52031,52045) = 7

We will now calculate the prime factors of 52031 and 52045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52031 and 52045.

How to find the GCF of 52031 and 52045?

We will first find the prime factorization of 52031 and 52045. After we will calculate the factors of 52031 and 52045 and find the biggest common factor number .

Step-1: Prime Factorization of 52031

Prime factors of 52031 are 7, 7433. Prime factorization of 52031 in exponential form is:

52031 = 7¹ × 7433¹

Step-2: Prime Factorization of 52045

Prime factors of 52045 are 5, 7, 1487. Prime factorization of 52045 in exponential form is:

52045 = 5¹ × 7¹ × 1487¹

Step-3: Factors of 52031

List of positive integer factors of 52031 that divides 52031 without a remainder.

1, 7, 7433

Step-4: Factors of 52045

List of positive integer factors of 52045 that divides 52031 without a remainder.

1, 5, 7, 35, 1487, 7435, 10409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52031 and 52045. The biggest common factor number is the GCF number.
So the greatest common factor 52031 and 52045 is 7.

Also check out the Least Common Multiple of 52031 and 52045