What is the Greatest Common Factor of 38374 and 38388?

Greatest common factor (GCF) of 38374 and 38388 is 14.

GCF(38374,38388) = 14

We will now calculate the prime factors of 38374 and 38388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38374 and 38388.

How to find the GCF of 38374 and 38388?

We will first find the prime factorization of 38374 and 38388. After we will calculate the factors of 38374 and 38388 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38388

Prime factors of 38388 are 2, 3, 7, 457. Prime factorization of 38388 in exponential form is:

38388 = 2² × 3¹ × 7¹ × 457¹

Step-3: Factors of 38374

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

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

Step-4: Factors of 38388

List of positive integer factors of 38388 that divides 38374 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 457, 914, 1371, 1828, 2742, 3199, 5484, 6398, 9597, 12796, 19194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38374 and 38388. The biggest common factor number is the GCF number.
So the greatest common factor 38374 and 38388 is 14.

Also check out the Least Common Multiple of 38374 and 38388