What is the Greatest Common Factor of 10361 and 10374?

Greatest common factor (GCF) of 10361 and 10374 is 13.

GCF(10361,10374) = 13

We will now calculate the prime factors of 10361 and 10374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10361 and 10374.

How to find the GCF of 10361 and 10374?

We will first find the prime factorization of 10361 and 10374. After we will calculate the factors of 10361 and 10374 and find the biggest common factor number .

Step-1: Prime Factorization of 10361

Prime factors of 10361 are 13, 797. Prime factorization of 10361 in exponential form is:

10361 = 13¹ × 797¹

Step-2: Prime Factorization of 10374

Prime factors of 10374 are 2, 3, 7, 13, 19. Prime factorization of 10374 in exponential form is:

10374 = 2¹ × 3¹ × 7¹ × 13¹ × 19¹

Step-3: Factors of 10361

List of positive integer factors of 10361 that divides 10361 without a remainder.

1, 13, 797

Step-4: Factors of 10374

List of positive integer factors of 10374 that divides 10361 without a remainder.

1, 2, 3, 6, 7, 13, 14, 19, 21, 26, 38, 39, 42, 57, 78, 91, 114, 133, 182, 247, 266, 273, 399, 494, 546, 741, 798, 1482, 1729, 3458, 5187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10361 and 10374. The biggest common factor number is the GCF number.
So the greatest common factor 10361 and 10374 is 13.

Also check out the Least Common Multiple of 10361 and 10374