What is the Greatest Common Factor of 7038 and 7058?

Greatest common factor (GCF) of 7038 and 7058 is 2.

GCF(7038,7058) = 2

We will now calculate the prime factors of 7038 and 7058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7038 and 7058.

How to find the GCF of 7038 and 7058?

We will first find the prime factorization of 7038 and 7058. After we will calculate the factors of 7038 and 7058 and find the biggest common factor number .

Step-1: Prime Factorization of 7038

Prime factors of 7038 are 2, 3, 17, 23. Prime factorization of 7038 in exponential form is:

7038 = 2¹ × 3² × 17¹ × 23¹

Step-2: Prime Factorization of 7058

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

7058 = 2¹ × 3529¹

Step-3: Factors of 7038

List of positive integer factors of 7038 that divides 7038 without a remainder.

1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519

Step-4: Factors of 7058

List of positive integer factors of 7058 that divides 7038 without a remainder.

1, 2, 3529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7038 and 7058. The biggest common factor number is the GCF number.
So the greatest common factor 7038 and 7058 is 2.

Also check out the Least Common Multiple of 7038 and 7058