What is the Greatest Common Factor of 10045 and 10052?

Greatest common factor (GCF) of 10045 and 10052 is 7.

GCF(10045,10052) = 7

We will now calculate the prime factors of 10045 and 10052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10045 and 10052.

How to find the GCF of 10045 and 10052?

We will first find the prime factorization of 10045 and 10052. After we will calculate the factors of 10045 and 10052 and find the biggest common factor number .

Step-1: Prime Factorization of 10045

Prime factors of 10045 are 5, 7, 41. Prime factorization of 10045 in exponential form is:

10045 = 5¹ × 7² × 41¹

Step-2: Prime Factorization of 10052

Prime factors of 10052 are 2, 7, 359. Prime factorization of 10052 in exponential form is:

10052 = 2² × 7¹ × 359¹

Step-3: Factors of 10045

List of positive integer factors of 10045 that divides 10045 without a remainder.

1, 5, 7, 35, 41, 49, 205, 245, 287, 1435, 2009

Step-4: Factors of 10052

List of positive integer factors of 10052 that divides 10045 without a remainder.

1, 2, 4, 7, 14, 28, 359, 718, 1436, 2513, 5026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10045 and 10052. The biggest common factor number is the GCF number.
So the greatest common factor 10045 and 10052 is 7.

Also check out the Least Common Multiple of 10045 and 10052