What is the Greatest Common Factor of 53085 and 53102?

Greatest common factor (GCF) of 53085 and 53102 is 1.

GCF(53085,53102) = 1

We will now calculate the prime factors of 53085 and 53102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53085 and 53102.

How to find the GCF of 53085 and 53102?

We will first find the prime factorization of 53085 and 53102. After we will calculate the factors of 53085 and 53102 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 53102

Prime factors of 53102 are 2, 7, 3793. Prime factorization of 53102 in exponential form is:

53102 = 2¹ × 7¹ × 3793¹

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 53102

List of positive integer factors of 53102 that divides 53085 without a remainder.

1, 2, 7, 14, 3793, 7586, 26551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53085 and 53102. The biggest common factor number is the GCF number.
So the greatest common factor 53085 and 53102 is 1.

Also check out the Least Common Multiple of 53085 and 53102