What is the Greatest Common Factor of 52049 and 52064?

Greatest common factor (GCF) of 52049 and 52064 is 1.

GCF(52049,52064) = 1

We will now calculate the prime factors of 52049 and 52064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52049 and 52064.

How to find the GCF of 52049 and 52064?

We will first find the prime factorization of 52049 and 52064. After we will calculate the factors of 52049 and 52064 and find the biggest common factor number .

Step-1: Prime Factorization of 52049

Prime factors of 52049 are 23, 31, 73. Prime factorization of 52049 in exponential form is:

52049 = 23¹ × 31¹ × 73¹

Step-2: Prime Factorization of 52064

Prime factors of 52064 are 2, 1627. Prime factorization of 52064 in exponential form is:

52064 = 2⁵ × 1627¹

Step-3: Factors of 52049

List of positive integer factors of 52049 that divides 52049 without a remainder.

1, 23, 31, 73, 713, 1679, 2263

Step-4: Factors of 52064

List of positive integer factors of 52064 that divides 52049 without a remainder.

1, 2, 4, 8, 16, 32, 1627, 3254, 6508, 13016, 26032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52049 and 52064. The biggest common factor number is the GCF number.
So the greatest common factor 52049 and 52064 is 1.

Also check out the Least Common Multiple of 52049 and 52064