What is the Greatest Common Factor of 7124 and 7130?

Greatest common factor (GCF) of 7124 and 7130 is 2.

GCF(7124,7130) = 2

We will now calculate the prime factors of 7124 and 7130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7124 and 7130.

How to find the GCF of 7124 and 7130?

We will first find the prime factorization of 7124 and 7130. After we will calculate the factors of 7124 and 7130 and find the biggest common factor number .

Step-1: Prime Factorization of 7124

Prime factors of 7124 are 2, 13, 137. Prime factorization of 7124 in exponential form is:

7124 = 2² × 13¹ × 137¹

Step-2: 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-3: Factors of 7124

List of positive integer factors of 7124 that divides 7124 without a remainder.

1, 2, 4, 13, 26, 52, 137, 274, 548, 1781, 3562

Step-4: Factors of 7130

List of positive integer factors of 7130 that divides 7124 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7124 and 7130. The biggest common factor number is the GCF number.
So the greatest common factor 7124 and 7130 is 2.

Also check out the Least Common Multiple of 7124 and 7130