What is the Greatest Common Factor of 7125 and 7144?

Greatest common factor (GCF) of 7125 and 7144 is 19.

GCF(7125,7144) = 19

We will now calculate the prime factors of 7125 and 7144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7125 and 7144.

How to find the GCF of 7125 and 7144?

We will first find the prime factorization of 7125 and 7144. After we will calculate the factors of 7125 and 7144 and find the biggest common factor number .

Step-1: Prime Factorization of 7125

Prime factors of 7125 are 3, 5, 19. Prime factorization of 7125 in exponential form is:

7125 = 3¹ × 5³ × 19¹

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 7125

List of positive integer factors of 7125 that divides 7125 without a remainder.

1, 3, 5, 15, 19, 25, 57, 75, 95, 125, 285, 375, 475, 1425, 2375

Step-4: Factors of 7144

List of positive integer factors of 7144 that divides 7125 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 7125 and 7144. The biggest common factor number is the GCF number.
So the greatest common factor 7125 and 7144 is 19.

Also check out the Least Common Multiple of 7125 and 7144