What is the Greatest Common Factor of 7072 and 7085?

Greatest common factor (GCF) of 7072 and 7085 is 13.

GCF(7072,7085) = 13

We will now calculate the prime factors of 7072 and 7085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7072 and 7085.

How to find the GCF of 7072 and 7085?

We will first find the prime factorization of 7072 and 7085. After we will calculate the factors of 7072 and 7085 and find the biggest common factor number .

Step-1: Prime Factorization of 7072

Prime factors of 7072 are 2, 13, 17. Prime factorization of 7072 in exponential form is:

7072 = 2⁵ × 13¹ × 17¹

Step-2: 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-3: Factors of 7072

List of positive integer factors of 7072 that divides 7072 without a remainder.

1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536

Step-4: Factors of 7085

List of positive integer factors of 7085 that divides 7072 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7072 and 7085. The biggest common factor number is the GCF number.
So the greatest common factor 7072 and 7085 is 13.

Also check out the Least Common Multiple of 7072 and 7085