What is the Greatest Common Factor of 83436 and 83448?

Greatest common factor (GCF) of 83436 and 83448 is 12.

GCF(83436,83448) = 12

We will now calculate the prime factors of 83436 and 83448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83436 and 83448.

How to find the GCF of 83436 and 83448?

We will first find the prime factorization of 83436 and 83448. After we will calculate the factors of 83436 and 83448 and find the biggest common factor number .

Step-1: Prime Factorization of 83436

Prime factors of 83436 are 2, 3, 17, 409. Prime factorization of 83436 in exponential form is:

83436 = 2² × 3¹ × 17¹ × 409¹

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 83436

List of positive integer factors of 83436 that divides 83436 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 409, 818, 1227, 1636, 2454, 4908, 6953, 13906, 20859, 27812, 41718

Step-4: Factors of 83448

List of positive integer factors of 83448 that divides 83436 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 83436 and 83448. The biggest common factor number is the GCF number.
So the greatest common factor 83436 and 83448 is 12.

Also check out the Least Common Multiple of 83436 and 83448