What is the Greatest Common Factor of 38064 and 38070?

Greatest common factor (GCF) of 38064 and 38070 is 6.

GCF(38064,38070) = 6

We will now calculate the prime factors of 38064 and 38070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38064 and 38070.

How to find the GCF of 38064 and 38070?

We will first find the prime factorization of 38064 and 38070. After we will calculate the factors of 38064 and 38070 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 38070

Prime factors of 38070 are 2, 3, 5, 47. Prime factorization of 38070 in exponential form is:

38070 = 2¹ × 3⁴ × 5¹ × 47¹

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 38070

List of positive integer factors of 38070 that divides 38064 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 47, 54, 81, 90, 94, 135, 141, 162, 235, 270, 282, 405, 423, 470, 705, 810, 846, 1269, 1410, 2115, 2538, 3807, 4230, 6345, 7614, 12690, 19035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38064 and 38070. The biggest common factor number is the GCF number.
So the greatest common factor 38064 and 38070 is 6.

Also check out the Least Common Multiple of 38064 and 38070