What is the Greatest Common Factor of 53085 and 53094?

Greatest common factor (GCF) of 53085 and 53094 is 3.

GCF(53085,53094) = 3

We will now calculate the prime factors of 53085 and 53094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53085 and 53094.

How to find the GCF of 53085 and 53094?

We will first find the prime factorization of 53085 and 53094. After we will calculate the factors of 53085 and 53094 and find the biggest common factor number .

Step-1: Prime Factorization of 53085

Prime factors of 53085 are 3, 5, 3539. Prime factorization of 53085 in exponential form is:

53085 = 3¹ × 5¹ × 3539¹

Step-2: Prime Factorization of 53094

Prime factors of 53094 are 2, 3, 8849. Prime factorization of 53094 in exponential form is:

53094 = 2¹ × 3¹ × 8849¹

Step-3: Factors of 53085

List of positive integer factors of 53085 that divides 53085 without a remainder.

1, 3, 5, 15, 3539, 10617, 17695

Step-4: Factors of 53094

List of positive integer factors of 53094 that divides 53085 without a remainder.

1, 2, 3, 6, 8849, 17698, 26547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53085 and 53094. The biggest common factor number is the GCF number.
So the greatest common factor 53085 and 53094 is 3.

Also check out the Least Common Multiple of 53085 and 53094