What is the Greatest Common Factor of 50489 and 50496?

Greatest common factor (GCF) of 50489 and 50496 is 1.

GCF(50489,50496) = 1

We will now calculate the prime factors of 50489 and 50496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50489 and 50496.

How to find the GCF of 50489 and 50496?

We will first find the prime factorization of 50489 and 50496. After we will calculate the factors of 50489 and 50496 and find the biggest common factor number .

Step-1: Prime Factorization of 50489

Prime factors of 50489 are 29, 1741. Prime factorization of 50489 in exponential form is:

50489 = 29¹ × 1741¹

Step-2: Prime Factorization of 50496

Prime factors of 50496 are 2, 3, 263. Prime factorization of 50496 in exponential form is:

50496 = 2⁶ × 3¹ × 263¹

Step-3: Factors of 50489

List of positive integer factors of 50489 that divides 50489 without a remainder.

1, 29, 1741

Step-4: Factors of 50496

List of positive integer factors of 50496 that divides 50489 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 263, 526, 789, 1052, 1578, 2104, 3156, 4208, 6312, 8416, 12624, 16832, 25248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50489 and 50496. The biggest common factor number is the GCF number.
So the greatest common factor 50489 and 50496 is 1.

Also check out the Least Common Multiple of 50489 and 50496