What is the Greatest Common Factor of 35184 and 35190?

Greatest common factor (GCF) of 35184 and 35190 is 6.

GCF(35184,35190) = 6

We will now calculate the prime factors of 35184 and 35190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35184 and 35190.

How to find the GCF of 35184 and 35190?

We will first find the prime factorization of 35184 and 35190. After we will calculate the factors of 35184 and 35190 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 35190

Prime factors of 35190 are 2, 3, 5, 17, 23. Prime factorization of 35190 in exponential form is:

35190 = 2¹ × 3² × 5¹ × 17¹ × 23¹

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 35190

List of positive integer factors of 35190 that divides 35184 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 23, 30, 34, 45, 46, 51, 69, 85, 90, 102, 115, 138, 153, 170, 207, 230, 255, 306, 345, 391, 414, 510, 690, 765, 782, 1035, 1173, 1530, 1955, 2070, 2346, 3519, 3910, 5865, 7038, 11730, 17595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35184 and 35190. The biggest common factor number is the GCF number.
So the greatest common factor 35184 and 35190 is 6.

Also check out the Least Common Multiple of 35184 and 35190