What is the Greatest Common Factor of 50032 and 50049?

Greatest common factor (GCF) of 50032 and 50049 is 1.

GCF(50032,50049) = 1

We will now calculate the prime factors of 50032 and 50049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50032 and 50049.

How to find the GCF of 50032 and 50049?

We will first find the prime factorization of 50032 and 50049. After we will calculate the factors of 50032 and 50049 and find the biggest common factor number .

Step-1: Prime Factorization of 50032

Prime factors of 50032 are 2, 53, 59. Prime factorization of 50032 in exponential form is:

50032 = 2⁴ × 53¹ × 59¹

Step-2: Prime Factorization of 50049

Prime factors of 50049 are 3, 67, 83. Prime factorization of 50049 in exponential form is:

50049 = 3² × 67¹ × 83¹

Step-3: Factors of 50032

List of positive integer factors of 50032 that divides 50032 without a remainder.

1, 2, 4, 8, 16, 53, 59, 106, 118, 212, 236, 424, 472, 848, 944, 3127, 6254, 12508, 25016

Step-4: Factors of 50049

List of positive integer factors of 50049 that divides 50032 without a remainder.

1, 3, 9, 67, 83, 201, 249, 603, 747, 5561, 16683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50032 and 50049. The biggest common factor number is the GCF number.
So the greatest common factor 50032 and 50049 is 1.

Also check out the Least Common Multiple of 50032 and 50049