What is the Greatest Common Factor of 38360 and 38374?

Greatest common factor (GCF) of 38360 and 38374 is 14.

GCF(38360,38374) = 14

We will now calculate the prime factors of 38360 and 38374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38360 and 38374.

How to find the GCF of 38360 and 38374?

We will first find the prime factorization of 38360 and 38374. After we will calculate the factors of 38360 and 38374 and find the biggest common factor number .

Step-1: Prime Factorization of 38360

Prime factors of 38360 are 2, 5, 7, 137. Prime factorization of 38360 in exponential form is:

38360 = 2³ × 5¹ × 7¹ × 137¹

Step-2: Prime Factorization of 38374

Prime factors of 38374 are 2, 7, 2741. Prime factorization of 38374 in exponential form is:

38374 = 2¹ × 7¹ × 2741¹

Step-3: Factors of 38360

List of positive integer factors of 38360 that divides 38360 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 137, 140, 274, 280, 548, 685, 959, 1096, 1370, 1918, 2740, 3836, 4795, 5480, 7672, 9590, 19180

Step-4: Factors of 38374

List of positive integer factors of 38374 that divides 38360 without a remainder.

1, 2, 7, 14, 2741, 5482, 19187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38360 and 38374. The biggest common factor number is the GCF number.
So the greatest common factor 38360 and 38374 is 14.

Also check out the Least Common Multiple of 38360 and 38374