What is the Greatest Common Factor of 7070 and 7084?

Greatest common factor (GCF) of 7070 and 7084 is 14.

GCF(7070,7084) = 14

We will now calculate the prime factors of 7070 and 7084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7070 and 7084.

How to find the GCF of 7070 and 7084?

We will first find the prime factorization of 7070 and 7084. After we will calculate the factors of 7070 and 7084 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7084

Prime factors of 7084 are 2, 7, 11, 23. Prime factorization of 7084 in exponential form is:

7084 = 2² × 7¹ × 11¹ × 23¹

Step-3: Factors of 7070

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

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

Step-4: Factors of 7084

List of positive integer factors of 7084 that divides 7070 without a remainder.

1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7070 and 7084. The biggest common factor number is the GCF number.
So the greatest common factor 7070 and 7084 is 14.

Also check out the Least Common Multiple of 7070 and 7084