What is the Greatest Common Factor of 45174 and 45192?

Greatest common factor (GCF) of 45174 and 45192 is 6.

GCF(45174,45192) = 6

We will now calculate the prime factors of 45174 and 45192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45174 and 45192.

How to find the GCF of 45174 and 45192?

We will first find the prime factorization of 45174 and 45192. After we will calculate the factors of 45174 and 45192 and find the biggest common factor number .

Step-1: Prime Factorization of 45174

Prime factors of 45174 are 2, 3, 7529. Prime factorization of 45174 in exponential form is:

45174 = 2¹ × 3¹ × 7529¹

Step-2: Prime Factorization of 45192

Prime factors of 45192 are 2, 3, 7, 269. Prime factorization of 45192 in exponential form is:

45192 = 2³ × 3¹ × 7¹ × 269¹

Step-3: Factors of 45174

List of positive integer factors of 45174 that divides 45174 without a remainder.

1, 2, 3, 6, 7529, 15058, 22587

Step-4: Factors of 45192

List of positive integer factors of 45192 that divides 45174 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 269, 538, 807, 1076, 1614, 1883, 2152, 3228, 3766, 5649, 6456, 7532, 11298, 15064, 22596

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45174 and 45192. The biggest common factor number is the GCF number.
So the greatest common factor 45174 and 45192 is 6.

Also check out the Least Common Multiple of 45174 and 45192