What is the Greatest Common Factor of 53085 and 53090?

Greatest common factor (GCF) of 53085 and 53090 is 5.

GCF(53085,53090) = 5

We will now calculate the prime factors of 53085 and 53090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53085 and 53090.

How to find the GCF of 53085 and 53090?

We will first find the prime factorization of 53085 and 53090. After we will calculate the factors of 53085 and 53090 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 53090

Prime factors of 53090 are 2, 5, 5309. Prime factorization of 53090 in exponential form is:

53090 = 2¹ × 5¹ × 5309¹

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 53090

List of positive integer factors of 53090 that divides 53085 without a remainder.

1, 2, 5, 10, 5309, 10618, 26545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53085 and 53090. The biggest common factor number is the GCF number.
So the greatest common factor 53085 and 53090 is 5.

Also check out the Least Common Multiple of 53085 and 53090