What is the Greatest Common Factor of 7130 and 7144?

Greatest common factor (GCF) of 7130 and 7144 is 2.

GCF(7130,7144) = 2

We will now calculate the prime factors of 7130 and 7144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7130 and 7144.

How to find the GCF of 7130 and 7144?

We will first find the prime factorization of 7130 and 7144. After we will calculate the factors of 7130 and 7144 and find the biggest common factor number .

Step-1: Prime Factorization of 7130

Prime factors of 7130 are 2, 5, 23, 31. Prime factorization of 7130 in exponential form is:

7130 = 2¹ × 5¹ × 23¹ × 31¹

Step-2: Prime Factorization of 7144

Prime factors of 7144 are 2, 19, 47. Prime factorization of 7144 in exponential form is:

7144 = 2³ × 19¹ × 47¹

Step-3: Factors of 7130

List of positive integer factors of 7130 that divides 7130 without a remainder.

1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565

Step-4: Factors of 7144

List of positive integer factors of 7144 that divides 7130 without a remainder.

1, 2, 4, 8, 19, 38, 47, 76, 94, 152, 188, 376, 893, 1786, 3572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7130 and 7144. The biggest common factor number is the GCF number.
So the greatest common factor 7130 and 7144 is 2.

Also check out the Least Common Multiple of 7130 and 7144