What is the Greatest Common Factor of 83136 and 83148?

Greatest common factor (GCF) of 83136 and 83148 is 12.

GCF(83136,83148) = 12

We will now calculate the prime factors of 83136 and 83148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83136 and 83148.

How to find the GCF of 83136 and 83148?

We will first find the prime factorization of 83136 and 83148. After we will calculate the factors of 83136 and 83148 and find the biggest common factor number .

Step-1: Prime Factorization of 83136

Prime factors of 83136 are 2, 3, 433. Prime factorization of 83136 in exponential form is:

83136 = 2⁶ × 3¹ × 433¹

Step-2: Prime Factorization of 83148

Prime factors of 83148 are 2, 3, 13, 41. Prime factorization of 83148 in exponential form is:

83148 = 2² × 3¹ × 13² × 41¹

Step-3: Factors of 83136

List of positive integer factors of 83136 that divides 83136 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 433, 866, 1299, 1732, 2598, 3464, 5196, 6928, 10392, 13856, 20784, 27712, 41568

Step-4: Factors of 83148

List of positive integer factors of 83148 that divides 83136 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 41, 52, 78, 82, 123, 156, 164, 169, 246, 338, 492, 507, 533, 676, 1014, 1066, 1599, 2028, 2132, 3198, 6396, 6929, 13858, 20787, 27716, 41574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83136 and 83148. The biggest common factor number is the GCF number.
So the greatest common factor 83136 and 83148 is 12.

Also check out the Least Common Multiple of 83136 and 83148