What is the Greatest Common Factor of 35172 and 35184?

Greatest common factor (GCF) of 35172 and 35184 is 12.

GCF(35172,35184) = 12

We will now calculate the prime factors of 35172 and 35184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35172 and 35184.

How to find the GCF of 35172 and 35184?

We will first find the prime factorization of 35172 and 35184. After we will calculate the factors of 35172 and 35184 and find the biggest common factor number .

Step-1: Prime Factorization of 35172

Prime factors of 35172 are 2, 3, 977. Prime factorization of 35172 in exponential form is:

35172 = 2² × 3² × 977¹

Step-2: 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-3: Factors of 35172

List of positive integer factors of 35172 that divides 35172 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 977, 1954, 2931, 3908, 5862, 8793, 11724, 17586

Step-4: Factors of 35184

List of positive integer factors of 35184 that divides 35172 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35172 and 35184. The biggest common factor number is the GCF number.
So the greatest common factor 35172 and 35184 is 12.

Also check out the Least Common Multiple of 35172 and 35184