What is the Greatest Common Factor of 7114 and 7124?

Greatest common factor (GCF) of 7114 and 7124 is 2.

GCF(7114,7124) = 2

We will now calculate the prime factors of 7114 and 7124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7114 and 7124.

How to find the GCF of 7114 and 7124?

We will first find the prime factorization of 7114 and 7124. After we will calculate the factors of 7114 and 7124 and find the biggest common factor number .

Step-1: Prime Factorization of 7114

Prime factors of 7114 are 2, 3557. Prime factorization of 7114 in exponential form is:

7114 = 2¹ × 3557¹

Step-2: 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-3: Factors of 7114

List of positive integer factors of 7114 that divides 7114 without a remainder.

1, 2, 3557

Step-4: Factors of 7124

List of positive integer factors of 7124 that divides 7114 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7114 and 7124. The biggest common factor number is the GCF number.
So the greatest common factor 7114 and 7124 is 2.

Also check out the Least Common Multiple of 7114 and 7124