What is the Greatest Common Factor of 83430 and 83448?

Greatest common factor (GCF) of 83430 and 83448 is 18.

GCF(83430,83448) = 18

We will now calculate the prime factors of 83430 and 83448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83430 and 83448.

How to find the GCF of 83430 and 83448?

We will first find the prime factorization of 83430 and 83448. After we will calculate the factors of 83430 and 83448 and find the biggest common factor number .

Step-1: Prime Factorization of 83430

Prime factors of 83430 are 2, 3, 5, 103. Prime factorization of 83430 in exponential form is:

83430 = 2¹ × 3⁴ × 5¹ × 103¹

Step-2: Prime Factorization of 83448

Prime factors of 83448 are 2, 3, 19, 61. Prime factorization of 83448 in exponential form is:

83448 = 2³ × 3² × 19¹ × 61¹

Step-3: Factors of 83430

List of positive integer factors of 83430 that divides 83430 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 103, 135, 162, 206, 270, 309, 405, 515, 618, 810, 927, 1030, 1545, 1854, 2781, 3090, 4635, 5562, 8343, 9270, 13905, 16686, 27810, 41715

Step-4: Factors of 83448

List of positive integer factors of 83448 that divides 83430 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 61, 72, 76, 114, 122, 152, 171, 183, 228, 244, 342, 366, 456, 488, 549, 684, 732, 1098, 1159, 1368, 1464, 2196, 2318, 3477, 4392, 4636, 6954, 9272, 10431, 13908, 20862, 27816, 41724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83430 and 83448. The biggest common factor number is the GCF number.
So the greatest common factor 83430 and 83448 is 18.

Also check out the Least Common Multiple of 83430 and 83448