What is the Greatest Common Factor of 48162 and 48168?

Greatest common factor (GCF) of 48162 and 48168 is 6.

GCF(48162,48168) = 6

We will now calculate the prime factors of 48162 and 48168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48162 and 48168.

How to find the GCF of 48162 and 48168?

We will first find the prime factorization of 48162 and 48168. After we will calculate the factors of 48162 and 48168 and find the biggest common factor number .

Step-1: Prime Factorization of 48162

Prime factors of 48162 are 2, 3, 23, 349. Prime factorization of 48162 in exponential form is:

48162 = 2¹ × 3¹ × 23¹ × 349¹

Step-2: Prime Factorization of 48168

Prime factors of 48168 are 2, 3, 223. Prime factorization of 48168 in exponential form is:

48168 = 2³ × 3³ × 223¹

Step-3: Factors of 48162

List of positive integer factors of 48162 that divides 48162 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 349, 698, 1047, 2094, 8027, 16054, 24081

Step-4: Factors of 48168

List of positive integer factors of 48168 that divides 48162 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 223, 446, 669, 892, 1338, 1784, 2007, 2676, 4014, 5352, 6021, 8028, 12042, 16056, 24084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48162 and 48168. The biggest common factor number is the GCF number.
So the greatest common factor 48162 and 48168 is 6.

Also check out the Least Common Multiple of 48162 and 48168