What is the Greatest Common Factor of 7058 and 7072?

Greatest common factor (GCF) of 7058 and 7072 is 2.

GCF(7058,7072) = 2

We will now calculate the prime factors of 7058 and 7072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7058 and 7072.

How to find the GCF of 7058 and 7072?

We will first find the prime factorization of 7058 and 7072. After we will calculate the factors of 7058 and 7072 and find the biggest common factor number .

Step-1: Prime Factorization of 7058

Prime factors of 7058 are 2, 3529. Prime factorization of 7058 in exponential form is:

7058 = 2¹ × 3529¹

Step-2: 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-3: Factors of 7058

List of positive integer factors of 7058 that divides 7058 without a remainder.

1, 2, 3529

Step-4: Factors of 7072

List of positive integer factors of 7072 that divides 7058 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7058 and 7072. The biggest common factor number is the GCF number.
So the greatest common factor 7058 and 7072 is 2.

Also check out the Least Common Multiple of 7058 and 7072