What is the Greatest Common Factor of 51009 and 51028?

Greatest common factor (GCF) of 51009 and 51028 is 1.

GCF(51009,51028) = 1

We will now calculate the prime factors of 51009 and 51028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51009 and 51028.

How to find the GCF of 51009 and 51028?

We will first find the prime factorization of 51009 and 51028. After we will calculate the factors of 51009 and 51028 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 51028

Prime factors of 51028 are 2, 12757. Prime factorization of 51028 in exponential form is:

51028 = 2² × 12757¹

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 51028

List of positive integer factors of 51028 that divides 51009 without a remainder.

1, 2, 4, 12757, 25514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51009 and 51028. The biggest common factor number is the GCF number.
So the greatest common factor 51009 and 51028 is 1.

Also check out the Least Common Multiple of 51009 and 51028