What is the Greatest Common Factor of 93144 and 93148?

Greatest common factor (GCF) of 93144 and 93148 is 4.

GCF(93144,93148) = 4

We will now calculate the prime factors of 93144 and 93148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93144 and 93148.

How to find the GCF of 93144 and 93148?

We will first find the prime factorization of 93144 and 93148. After we will calculate the factors of 93144 and 93148 and find the biggest common factor number .

Step-1: Prime Factorization of 93144

Prime factors of 93144 are 2, 3, 3881. Prime factorization of 93144 in exponential form is:

93144 = 2³ × 3¹ × 3881¹

Step-2: Prime Factorization of 93148

Prime factors of 93148 are 2, 11, 29, 73. Prime factorization of 93148 in exponential form is:

93148 = 2² × 11¹ × 29¹ × 73¹

Step-3: Factors of 93144

List of positive integer factors of 93144 that divides 93144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3881, 7762, 11643, 15524, 23286, 31048, 46572

Step-4: Factors of 93148

List of positive integer factors of 93148 that divides 93144 without a remainder.

1, 2, 4, 11, 22, 29, 44, 58, 73, 116, 146, 292, 319, 638, 803, 1276, 1606, 2117, 3212, 4234, 8468, 23287, 46574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93144 and 93148. The biggest common factor number is the GCF number.
So the greatest common factor 93144 and 93148 is 4.

Also check out the Least Common Multiple of 93144 and 93148