What is the Greatest Common Factor of 7105 and 7124?

Greatest common factor (GCF) of 7105 and 7124 is 1.

GCF(7105,7124) = 1

We will now calculate the prime factors of 7105 and 7124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7105 and 7124.

How to find the GCF of 7105 and 7124?

We will first find the prime factorization of 7105 and 7124. After we will calculate the factors of 7105 and 7124 and find the biggest common factor number .

Step-1: Prime Factorization of 7105

Prime factors of 7105 are 5, 7, 29. Prime factorization of 7105 in exponential form is:

7105 = 5¹ × 7² × 29¹

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 7105

List of positive integer factors of 7105 that divides 7105 without a remainder.

1, 5, 7, 29, 35, 49, 145, 203, 245, 1015, 1421

Step-4: Factors of 7124

List of positive integer factors of 7124 that divides 7105 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 7105 and 7124. The biggest common factor number is the GCF number.
So the greatest common factor 7105 and 7124 is 1.

Also check out the Least Common Multiple of 7105 and 7124