What is the Greatest Common Factor of 38072 and 38078?

Greatest common factor (GCF) of 38072 and 38078 is 2.

GCF(38072,38078) = 2

We will now calculate the prime factors of 38072 and 38078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38072 and 38078.

How to find the GCF of 38072 and 38078?

We will first find the prime factorization of 38072 and 38078. After we will calculate the factors of 38072 and 38078 and find the biggest common factor number .

Step-1: Prime Factorization of 38072

Prime factors of 38072 are 2, 4759. Prime factorization of 38072 in exponential form is:

38072 = 2³ × 4759¹

Step-2: Prime Factorization of 38078

Prime factors of 38078 are 2, 79, 241. Prime factorization of 38078 in exponential form is:

38078 = 2¹ × 79¹ × 241¹

Step-3: Factors of 38072

List of positive integer factors of 38072 that divides 38072 without a remainder.

1, 2, 4, 8, 4759, 9518, 19036

Step-4: Factors of 38078

List of positive integer factors of 38078 that divides 38072 without a remainder.

1, 2, 79, 158, 241, 482, 19039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38072 and 38078. The biggest common factor number is the GCF number.
So the greatest common factor 38072 and 38078 is 2.

Also check out the Least Common Multiple of 38072 and 38078