What is the Greatest Common Factor of 53190 and 53208?

Greatest common factor (GCF) of 53190 and 53208 is 18.

GCF(53190,53208) = 18

We will now calculate the prime factors of 53190 and 53208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53190 and 53208.

How to find the GCF of 53190 and 53208?

We will first find the prime factorization of 53190 and 53208. After we will calculate the factors of 53190 and 53208 and find the biggest common factor number .

Step-1: Prime Factorization of 53190

Prime factors of 53190 are 2, 3, 5, 197. Prime factorization of 53190 in exponential form is:

53190 = 2¹ × 3³ × 5¹ × 197¹

Step-2: Prime Factorization of 53208

Prime factors of 53208 are 2, 3, 739. Prime factorization of 53208 in exponential form is:

53208 = 2³ × 3² × 739¹

Step-3: Factors of 53190

List of positive integer factors of 53190 that divides 53190 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 197, 270, 394, 591, 985, 1182, 1773, 1970, 2955, 3546, 5319, 5910, 8865, 10638, 17730, 26595

Step-4: Factors of 53208

List of positive integer factors of 53208 that divides 53190 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 739, 1478, 2217, 2956, 4434, 5912, 6651, 8868, 13302, 17736, 26604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53190 and 53208. The biggest common factor number is the GCF number.
So the greatest common factor 53190 and 53208 is 18.

Also check out the Least Common Multiple of 53190 and 53208