What is the Greatest Common Factor of 7048 and 7066?

Greatest common factor (GCF) of 7048 and 7066 is 2.

GCF(7048,7066) = 2

We will now calculate the prime factors of 7048 and 7066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7048 and 7066.

How to find the GCF of 7048 and 7066?

We will first find the prime factorization of 7048 and 7066. After we will calculate the factors of 7048 and 7066 and find the biggest common factor number .

Step-1: Prime Factorization of 7048

Prime factors of 7048 are 2, 881. Prime factorization of 7048 in exponential form is:

7048 = 2³ × 881¹

Step-2: Prime Factorization of 7066

Prime factors of 7066 are 2, 3533. Prime factorization of 7066 in exponential form is:

7066 = 2¹ × 3533¹

Step-3: Factors of 7048

List of positive integer factors of 7048 that divides 7048 without a remainder.

1, 2, 4, 8, 881, 1762, 3524

Step-4: Factors of 7066

List of positive integer factors of 7066 that divides 7048 without a remainder.

1, 2, 3533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7048 and 7066. The biggest common factor number is the GCF number.
So the greatest common factor 7048 and 7066 is 2.

Also check out the Least Common Multiple of 7048 and 7066