What is the Greatest Common Factor of 10374 and 10378?

Greatest common factor (GCF) of 10374 and 10378 is 2.

GCF(10374,10378) = 2

We will now calculate the prime factors of 10374 and 10378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10374 and 10378.

How to find the GCF of 10374 and 10378?

We will first find the prime factorization of 10374 and 10378. After we will calculate the factors of 10374 and 10378 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 10378

Prime factors of 10378 are 2, 5189. Prime factorization of 10378 in exponential form is:

10378 = 2¹ × 5189¹

Step-3: Factors of 10374

List of positive integer factors of 10374 that divides 10374 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

Step-4: Factors of 10378

List of positive integer factors of 10378 that divides 10374 without a remainder.

1, 2, 5189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10374 and 10378. The biggest common factor number is the GCF number.
So the greatest common factor 10374 and 10378 is 2.

Also check out the Least Common Multiple of 10374 and 10378