What is the Greatest Common Factor of 38456 and 38476?

Greatest common factor (GCF) of 38456 and 38476 is 4.

GCF(38456,38476) = 4

We will now calculate the prime factors of 38456 and 38476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38456 and 38476.

How to find the GCF of 38456 and 38476?

We will first find the prime factorization of 38456 and 38476. After we will calculate the factors of 38456 and 38476 and find the biggest common factor number .

Step-1: Prime Factorization of 38456

Prime factors of 38456 are 2, 11, 19, 23. Prime factorization of 38456 in exponential form is:

38456 = 2³ × 11¹ × 19¹ × 23¹

Step-2: Prime Factorization of 38476

Prime factors of 38476 are 2, 9619. Prime factorization of 38476 in exponential form is:

38476 = 2² × 9619¹

Step-3: Factors of 38456

List of positive integer factors of 38456 that divides 38456 without a remainder.

1, 2, 4, 8, 11, 19, 22, 23, 38, 44, 46, 76, 88, 92, 152, 184, 209, 253, 418, 437, 506, 836, 874, 1012, 1672, 1748, 2024, 3496, 4807, 9614, 19228

Step-4: Factors of 38476

List of positive integer factors of 38476 that divides 38456 without a remainder.

1, 2, 4, 9619, 19238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38456 and 38476. The biggest common factor number is the GCF number.
So the greatest common factor 38456 and 38476 is 4.

Also check out the Least Common Multiple of 38456 and 38476