What is the Greatest Common Factor of 48144 and 48162?

Greatest common factor (GCF) of 48144 and 48162 is 6.

GCF(48144,48162) = 6

We will now calculate the prime factors of 48144 and 48162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48144 and 48162.

How to find the GCF of 48144 and 48162?

We will first find the prime factorization of 48144 and 48162. After we will calculate the factors of 48144 and 48162 and find the biggest common factor number .

Step-1: Prime Factorization of 48144

Prime factors of 48144 are 2, 3, 17, 59. Prime factorization of 48144 in exponential form is:

48144 = 2⁴ × 3¹ × 17¹ × 59¹

Step-2: 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-3: Factors of 48144

List of positive integer factors of 48144 that divides 48144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 59, 68, 102, 118, 136, 177, 204, 236, 272, 354, 408, 472, 708, 816, 944, 1003, 1416, 2006, 2832, 3009, 4012, 6018, 8024, 12036, 16048, 24072

Step-4: Factors of 48162

List of positive integer factors of 48162 that divides 48144 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48144 and 48162. The biggest common factor number is the GCF number.
So the greatest common factor 48144 and 48162 is 6.

Also check out the Least Common Multiple of 48144 and 48162