What is the Greatest Common Factor of 50031 and 50048?

Greatest common factor (GCF) of 50031 and 50048 is 17.

GCF(50031,50048) = 17

We will now calculate the prime factors of 50031 and 50048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50031 and 50048.

How to find the GCF of 50031 and 50048?

We will first find the prime factorization of 50031 and 50048. After we will calculate the factors of 50031 and 50048 and find the biggest common factor number .

Step-1: Prime Factorization of 50031

Prime factors of 50031 are 3, 17, 109. Prime factorization of 50031 in exponential form is:

50031 = 3³ × 17¹ × 109¹

Step-2: Prime Factorization of 50048

Prime factors of 50048 are 2, 17, 23. Prime factorization of 50048 in exponential form is:

50048 = 2⁷ × 17¹ × 23¹

Step-3: Factors of 50031

List of positive integer factors of 50031 that divides 50031 without a remainder.

1, 3, 9, 17, 27, 51, 109, 153, 327, 459, 981, 1853, 2943, 5559, 16677

Step-4: Factors of 50048

List of positive integer factors of 50048 that divides 50031 without a remainder.

1, 2, 4, 8, 16, 17, 23, 32, 34, 46, 64, 68, 92, 128, 136, 184, 272, 368, 391, 544, 736, 782, 1088, 1472, 1564, 2176, 2944, 3128, 6256, 12512, 25024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50031 and 50048. The biggest common factor number is the GCF number.
So the greatest common factor 50031 and 50048 is 17.

Also check out the Least Common Multiple of 50031 and 50048