What is the Greatest Common Factor of 51009 and 51024?

Greatest common factor (GCF) of 51009 and 51024 is 3.

GCF(51009,51024) = 3

We will now calculate the prime factors of 51009 and 51024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51009 and 51024.

How to find the GCF of 51009 and 51024?

We will first find the prime factorization of 51009 and 51024. After we will calculate the factors of 51009 and 51024 and find the biggest common factor number .

Step-1: Prime Factorization of 51009

Prime factors of 51009 are 3, 7, 347. Prime factorization of 51009 in exponential form is:

51009 = 3¹ × 7² × 347¹

Step-2: Prime Factorization of 51024

Prime factors of 51024 are 2, 3, 1063. Prime factorization of 51024 in exponential form is:

51024 = 2⁴ × 3¹ × 1063¹

Step-3: Factors of 51009

List of positive integer factors of 51009 that divides 51009 without a remainder.

1, 3, 7, 21, 49, 147, 347, 1041, 2429, 7287, 17003

Step-4: Factors of 51024

List of positive integer factors of 51024 that divides 51009 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1063, 2126, 3189, 4252, 6378, 8504, 12756, 17008, 25512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51009 and 51024. The biggest common factor number is the GCF number.
So the greatest common factor 51009 and 51024 is 3.

Also check out the Least Common Multiple of 51009 and 51024