What is the Greatest Common Factor of 63085 and 63102?

Greatest common factor (GCF) of 63085 and 63102 is 1.

GCF(63085,63102) = 1

We will now calculate the prime factors of 63085 and 63102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63085 and 63102.

How to find the GCF of 63085 and 63102?

We will first find the prime factorization of 63085 and 63102. After we will calculate the factors of 63085 and 63102 and find the biggest common factor number .

Step-1: Prime Factorization of 63085

Prime factors of 63085 are 5, 11, 31, 37. Prime factorization of 63085 in exponential form is:

63085 = 5¹ × 11¹ × 31¹ × 37¹

Step-2: Prime Factorization of 63102

Prime factors of 63102 are 2, 3, 13, 809. Prime factorization of 63102 in exponential form is:

63102 = 2¹ × 3¹ × 13¹ × 809¹

Step-3: Factors of 63085

List of positive integer factors of 63085 that divides 63085 without a remainder.

1, 5, 11, 31, 37, 55, 155, 185, 341, 407, 1147, 1705, 2035, 5735, 12617

Step-4: Factors of 63102

List of positive integer factors of 63102 that divides 63085 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 809, 1618, 2427, 4854, 10517, 21034, 31551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63085 and 63102. The biggest common factor number is the GCF number.
So the greatest common factor 63085 and 63102 is 1.

Also check out the Least Common Multiple of 63085 and 63102