What is the Greatest Common Factor of 35184 and 35196?

Greatest common factor (GCF) of 35184 and 35196 is 12.

GCF(35184,35196) = 12

We will now calculate the prime factors of 35184 and 35196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35184 and 35196.

How to find the GCF of 35184 and 35196?

We will first find the prime factorization of 35184 and 35196. After we will calculate the factors of 35184 and 35196 and find the biggest common factor number .

Step-1: Prime Factorization of 35184

Prime factors of 35184 are 2, 3, 733. Prime factorization of 35184 in exponential form is:

35184 = 2⁴ × 3¹ × 733¹

Step-2: Prime Factorization of 35196

Prime factors of 35196 are 2, 3, 7, 419. Prime factorization of 35196 in exponential form is:

35196 = 2² × 3¹ × 7¹ × 419¹

Step-3: Factors of 35184

List of positive integer factors of 35184 that divides 35184 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 733, 1466, 2199, 2932, 4398, 5864, 8796, 11728, 17592

Step-4: Factors of 35196

List of positive integer factors of 35196 that divides 35184 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 419, 838, 1257, 1676, 2514, 2933, 5028, 5866, 8799, 11732, 17598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35184 and 35196. The biggest common factor number is the GCF number.
So the greatest common factor 35184 and 35196 is 12.

Also check out the Least Common Multiple of 35184 and 35196