What is the Greatest Common Factor of 75153 and 75168?

Greatest common factor (GCF) of 75153 and 75168 is 3.

GCF(75153,75168) = 3

We will now calculate the prime factors of 75153 and 75168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75153 and 75168.

How to find the GCF of 75153 and 75168?

We will first find the prime factorization of 75153 and 75168. After we will calculate the factors of 75153 and 75168 and find the biggest common factor number .

Step-1: Prime Factorization of 75153

Prime factors of 75153 are 3, 13, 41, 47. Prime factorization of 75153 in exponential form is:

75153 = 3¹ × 13¹ × 41¹ × 47¹

Step-2: Prime Factorization of 75168

Prime factors of 75168 are 2, 3, 29. Prime factorization of 75168 in exponential form is:

75168 = 2⁵ × 3⁴ × 29¹

Step-3: Factors of 75153

List of positive integer factors of 75153 that divides 75153 without a remainder.

1, 3, 13, 39, 41, 47, 123, 141, 533, 611, 1599, 1833, 1927, 5781, 25051

Step-4: Factors of 75168

List of positive integer factors of 75168 that divides 75153 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 29, 32, 36, 48, 54, 58, 72, 81, 87, 96, 108, 116, 144, 162, 174, 216, 232, 261, 288, 324, 348, 432, 464, 522, 648, 696, 783, 864, 928, 1044, 1296, 1392, 1566, 2088, 2349, 2592, 2784, 3132, 4176, 4698, 6264, 8352, 9396, 12528, 18792, 25056, 37584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75153 and 75168. The biggest common factor number is the GCF number.
So the greatest common factor 75153 and 75168 is 3.

Also check out the Least Common Multiple of 75153 and 75168