What is the Greatest Common Factor of 51002 and 51009?

Greatest common factor (GCF) of 51002 and 51009 is 7.

GCF(51002,51009) = 7

We will now calculate the prime factors of 51002 and 51009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51002 and 51009.

How to find the GCF of 51002 and 51009?

We will first find the prime factorization of 51002 and 51009. After we will calculate the factors of 51002 and 51009 and find the biggest common factor number .

Step-1: Prime Factorization of 51002

Prime factors of 51002 are 2, 7, 3643. Prime factorization of 51002 in exponential form is:

51002 = 2¹ × 7¹ × 3643¹

Step-2: 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-3: Factors of 51002

List of positive integer factors of 51002 that divides 51002 without a remainder.

1, 2, 7, 14, 3643, 7286, 25501

Step-4: Factors of 51009

List of positive integer factors of 51009 that divides 51002 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51002 and 51009. The biggest common factor number is the GCF number.
So the greatest common factor 51002 and 51009 is 7.

Also check out the Least Common Multiple of 51002 and 51009