What is the Greatest Common Factor of 38051 and 38064?

Greatest common factor (GCF) of 38051 and 38064 is 13.

GCF(38051,38064) = 13

We will now calculate the prime factors of 38051 and 38064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38051 and 38064.

How to find the GCF of 38051 and 38064?

We will first find the prime factorization of 38051 and 38064. After we will calculate the factors of 38051 and 38064 and find the biggest common factor number .

Step-1: Prime Factorization of 38051

Prime factors of 38051 are 13, 2927. Prime factorization of 38051 in exponential form is:

38051 = 13¹ × 2927¹

Step-2: 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-3: Factors of 38051

List of positive integer factors of 38051 that divides 38051 without a remainder.

1, 13, 2927

Step-4: Factors of 38064

List of positive integer factors of 38064 that divides 38051 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38051 and 38064. The biggest common factor number is the GCF number.
So the greatest common factor 38051 and 38064 is 13.

Also check out the Least Common Multiple of 38051 and 38064