What is the Greatest Common Factor of 7085 and 7100?

Greatest common factor (GCF) of 7085 and 7100 is 5.

GCF(7085,7100) = 5

We will now calculate the prime factors of 7085 and 7100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7085 and 7100.

How to find the GCF of 7085 and 7100?

We will first find the prime factorization of 7085 and 7100. After we will calculate the factors of 7085 and 7100 and find the biggest common factor number .

Step-1: Prime Factorization of 7085

Prime factors of 7085 are 5, 13, 109. Prime factorization of 7085 in exponential form is:

7085 = 5¹ × 13¹ × 109¹

Step-2: Prime Factorization of 7100

Prime factors of 7100 are 2, 5, 71. Prime factorization of 7100 in exponential form is:

7100 = 2² × 5² × 71¹

Step-3: Factors of 7085

List of positive integer factors of 7085 that divides 7085 without a remainder.

1, 5, 13, 65, 109, 545, 1417

Step-4: Factors of 7100

List of positive integer factors of 7100 that divides 7085 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 71, 100, 142, 284, 355, 710, 1420, 1775, 3550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7085 and 7100. The biggest common factor number is the GCF number.
So the greatest common factor 7085 and 7100 is 5.

Also check out the Least Common Multiple of 7085 and 7100