What is the Greatest Common Factor of 7072 and 7088?

Greatest common factor (GCF) of 7072 and 7088 is 16.

GCF(7072,7088) = 16

We will now calculate the prime factors of 7072 and 7088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7072 and 7088.

How to find the GCF of 7072 and 7088?

We will first find the prime factorization of 7072 and 7088. After we will calculate the factors of 7072 and 7088 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 7088

Prime factors of 7088 are 2, 443. Prime factorization of 7088 in exponential form is:

7088 = 2⁴ × 443¹

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 7088

List of positive integer factors of 7088 that divides 7072 without a remainder.

1, 2, 4, 8, 16, 443, 886, 1772, 3544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7072 and 7088. The biggest common factor number is the GCF number.
So the greatest common factor 7072 and 7088 is 16.

Also check out the Least Common Multiple of 7072 and 7088