What is the Greatest Common Factor of 7105 and 7120?

Greatest common factor (GCF) of 7105 and 7120 is 5.

GCF(7105,7120) = 5

We will now calculate the prime factors of 7105 and 7120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7105 and 7120.

How to find the GCF of 7105 and 7120?

We will first find the prime factorization of 7105 and 7120. After we will calculate the factors of 7105 and 7120 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 7120

Prime factors of 7120 are 2, 5, 89. Prime factorization of 7120 in exponential form is:

7120 = 2⁴ × 5¹ × 89¹

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 7120

List of positive integer factors of 7120 that divides 7105 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7105 and 7120. The biggest common factor number is the GCF number.
So the greatest common factor 7105 and 7120 is 5.

Also check out the Least Common Multiple of 7105 and 7120