What is the Greatest Common Factor of 63096 and 63104?

Greatest common factor (GCF) of 63096 and 63104 is 8.

GCF(63096,63104) = 8

We will now calculate the prime factors of 63096 and 63104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63096 and 63104.

How to find the GCF of 63096 and 63104?

We will first find the prime factorization of 63096 and 63104. After we will calculate the factors of 63096 and 63104 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63104

Prime factors of 63104 are 2, 17, 29. Prime factorization of 63104 in exponential form is:

63104 = 2⁷ × 17¹ × 29¹

Step-3: Factors of 63096

List of positive integer factors of 63096 that divides 63096 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

Step-4: Factors of 63104

List of positive integer factors of 63104 that divides 63096 without a remainder.

1, 2, 4, 8, 16, 17, 29, 32, 34, 58, 64, 68, 116, 128, 136, 232, 272, 464, 493, 544, 928, 986, 1088, 1856, 1972, 2176, 3712, 3944, 7888, 15776, 31552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63096 and 63104. The biggest common factor number is the GCF number.
So the greatest common factor 63096 and 63104 is 8.

Also check out the Least Common Multiple of 63096 and 63104