What is the Greatest Common Factor of 63104 and 63121?

Greatest common factor (GCF) of 63104 and 63121 is 17.

GCF(63104,63121) = 17

We will now calculate the prime factors of 63104 and 63121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63104 and 63121.

How to find the GCF of 63104 and 63121?

We will first find the prime factorization of 63104 and 63121. After we will calculate the factors of 63104 and 63121 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63121

Prime factors of 63121 are 17, 47, 79. Prime factorization of 63121 in exponential form is:

63121 = 17¹ × 47¹ × 79¹

Step-3: Factors of 63104

List of positive integer factors of 63104 that divides 63104 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

Step-4: Factors of 63121

List of positive integer factors of 63121 that divides 63104 without a remainder.

1, 17, 47, 79, 799, 1343, 3713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63104 and 63121. The biggest common factor number is the GCF number.
So the greatest common factor 63104 and 63121 is 17.

Also check out the Least Common Multiple of 63104 and 63121