What is the Greatest Common Factor of 35184 and 35192?

Greatest common factor (GCF) of 35184 and 35192 is 8.

GCF(35184,35192) = 8

We will now calculate the prime factors of 35184 and 35192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35184 and 35192.

How to find the GCF of 35184 and 35192?

We will first find the prime factorization of 35184 and 35192. After we will calculate the factors of 35184 and 35192 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 35192

Prime factors of 35192 are 2, 53, 83. Prime factorization of 35192 in exponential form is:

35192 = 2³ × 53¹ × 83¹

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 35192

List of positive integer factors of 35192 that divides 35184 without a remainder.

1, 2, 4, 8, 53, 83, 106, 166, 212, 332, 424, 664, 4399, 8798, 17596

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35184 and 35192. The biggest common factor number is the GCF number.
So the greatest common factor 35184 and 35192 is 8.

Also check out the Least Common Multiple of 35184 and 35192