What is the Greatest Common Factor of 51009 and 51023?

Greatest common factor (GCF) of 51009 and 51023 is 7.

GCF(51009,51023) = 7

We will now calculate the prime factors of 51009 and 51023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51009 and 51023.

How to find the GCF of 51009 and 51023?

We will first find the prime factorization of 51009 and 51023. After we will calculate the factors of 51009 and 51023 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 51023

Prime factors of 51023 are 7, 37, 197. Prime factorization of 51023 in exponential form is:

51023 = 7¹ × 37¹ × 197¹

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 51023

List of positive integer factors of 51023 that divides 51009 without a remainder.

1, 7, 37, 197, 259, 1379, 7289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51009 and 51023. The biggest common factor number is the GCF number.
So the greatest common factor 51009 and 51023 is 7.

Also check out the Least Common Multiple of 51009 and 51023