What is the Greatest Common Factor of 38064 and 38072?

Greatest common factor (GCF) of 38064 and 38072 is 8.

GCF(38064,38072) = 8

We will now calculate the prime factors of 38064 and 38072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38064 and 38072.

How to find the GCF of 38064 and 38072?

We will first find the prime factorization of 38064 and 38072. After we will calculate the factors of 38064 and 38072 and find the biggest common factor number .

Step-1: Prime Factorization of 38064

Prime factors of 38064 are 2, 3, 13, 61. Prime factorization of 38064 in exponential form is:

38064 = 2⁴ × 3¹ × 13¹ × 61¹

Step-2: Prime Factorization of 38072

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

38072 = 2³ × 4759¹

Step-3: Factors of 38064

List of positive integer factors of 38064 that divides 38064 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 61, 78, 104, 122, 156, 183, 208, 244, 312, 366, 488, 624, 732, 793, 976, 1464, 1586, 2379, 2928, 3172, 4758, 6344, 9516, 12688, 19032

Step-4: Factors of 38072

List of positive integer factors of 38072 that divides 38064 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38064 and 38072. The biggest common factor number is the GCF number.
So the greatest common factor 38064 and 38072 is 8.

Also check out the Least Common Multiple of 38064 and 38072