What is the Greatest Common Factor of 10360 and 10379?

Greatest common factor (GCF) of 10360 and 10379 is 1.

GCF(10360,10379) = 1

We will now calculate the prime factors of 10360 and 10379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10360 and 10379.

How to find the GCF of 10360 and 10379?

We will first find the prime factorization of 10360 and 10379. After we will calculate the factors of 10360 and 10379 and find the biggest common factor number .

Step-1: Prime Factorization of 10360

Prime factors of 10360 are 2, 5, 7, 37. Prime factorization of 10360 in exponential form is:

10360 = 2³ × 5¹ × 7¹ × 37¹

Step-2: Prime Factorization of 10379

Prime factors of 10379 are 97, 107. Prime factorization of 10379 in exponential form is:

10379 = 97¹ × 107¹

Step-3: Factors of 10360

List of positive integer factors of 10360 that divides 10360 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 37, 40, 56, 70, 74, 140, 148, 185, 259, 280, 296, 370, 518, 740, 1036, 1295, 1480, 2072, 2590, 5180

Step-4: Factors of 10379

List of positive integer factors of 10379 that divides 10360 without a remainder.

1, 97, 107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10360 and 10379. The biggest common factor number is the GCF number.
So the greatest common factor 10360 and 10379 is 1.

Also check out the Least Common Multiple of 10360 and 10379