What is the Greatest Common Factor of 38064 and 38077?

Greatest common factor (GCF) of 38064 and 38077 is 13.

GCF(38064,38077) = 13

We will now calculate the prime factors of 38064 and 38077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38064 and 38077.

How to find the GCF of 38064 and 38077?

We will first find the prime factorization of 38064 and 38077. After we will calculate the factors of 38064 and 38077 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 38077

Prime factors of 38077 are 13, 29, 101. Prime factorization of 38077 in exponential form is:

38077 = 13¹ × 29¹ × 101¹

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 38077

List of positive integer factors of 38077 that divides 38064 without a remainder.

1, 13, 29, 101, 377, 1313, 2929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38064 and 38077. The biggest common factor number is the GCF number.
So the greatest common factor 38064 and 38077 is 13.

Also check out the Least Common Multiple of 38064 and 38077