What is the Greatest Common Factor of 63085 and 63096?

Greatest common factor (GCF) of 63085 and 63096 is 11.

GCF(63085,63096) = 11

We will now calculate the prime factors of 63085 and 63096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63085 and 63096.

How to find the GCF of 63085 and 63096?

We will first find the prime factorization of 63085 and 63096. After we will calculate the factors of 63085 and 63096 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 63096

Prime factors of 63096 are 2, 3, 11, 239. Prime factorization of 63096 in exponential form is:

63096 = 2³ × 3¹ × 11¹ × 239¹

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 63096

List of positive integer factors of 63096 that divides 63085 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 239, 264, 478, 717, 956, 1434, 1912, 2629, 2868, 5258, 5736, 7887, 10516, 15774, 21032, 31548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63085 and 63096. The biggest common factor number is the GCF number.
So the greatest common factor 63085 and 63096 is 11.

Also check out the Least Common Multiple of 63085 and 63096