What is the Greatest Common Factor of 75144 and 75154?

Greatest common factor (GCF) of 75144 and 75154 is 2.

GCF(75144,75154) = 2

We will now calculate the prime factors of 75144 and 75154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75144 and 75154.

How to find the GCF of 75144 and 75154?

We will first find the prime factorization of 75144 and 75154. After we will calculate the factors of 75144 and 75154 and find the biggest common factor number .

Step-1: Prime Factorization of 75144

Prime factors of 75144 are 2, 3, 31, 101. Prime factorization of 75144 in exponential form is:

75144 = 2³ × 3¹ × 31¹ × 101¹

Step-2: Prime Factorization of 75154

Prime factors of 75154 are 2, 53, 709. Prime factorization of 75154 in exponential form is:

75154 = 2¹ × 53¹ × 709¹

Step-3: Factors of 75144

List of positive integer factors of 75144 that divides 75144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 101, 124, 186, 202, 248, 303, 372, 404, 606, 744, 808, 1212, 2424, 3131, 6262, 9393, 12524, 18786, 25048, 37572

Step-4: Factors of 75154

List of positive integer factors of 75154 that divides 75144 without a remainder.

1, 2, 53, 106, 709, 1418, 37577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75144 and 75154. The biggest common factor number is the GCF number.
So the greatest common factor 75144 and 75154 is 2.

Also check out the Least Common Multiple of 75144 and 75154