What is the Greatest Common Factor of 7065 and 7070?

Greatest common factor (GCF) of 7065 and 7070 is 5.

GCF(7065,7070) = 5

We will now calculate the prime factors of 7065 and 7070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7065 and 7070.

How to find the GCF of 7065 and 7070?

We will first find the prime factorization of 7065 and 7070. After we will calculate the factors of 7065 and 7070 and find the biggest common factor number .

Step-1: Prime Factorization of 7065

Prime factors of 7065 are 3, 5, 157. Prime factorization of 7065 in exponential form is:

7065 = 3² × 5¹ × 157¹

Step-2: Prime Factorization of 7070

Prime factors of 7070 are 2, 5, 7, 101. Prime factorization of 7070 in exponential form is:

7070 = 2¹ × 5¹ × 7¹ × 101¹

Step-3: Factors of 7065

List of positive integer factors of 7065 that divides 7065 without a remainder.

1, 3, 5, 9, 15, 45, 157, 471, 785, 1413, 2355

Step-4: Factors of 7070

List of positive integer factors of 7070 that divides 7065 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 101, 202, 505, 707, 1010, 1414, 3535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7065 and 7070. The biggest common factor number is the GCF number.
So the greatest common factor 7065 and 7070 is 5.

Also check out the Least Common Multiple of 7065 and 7070