What is the Greatest Common Factor of 7030 and 7048?

Greatest common factor (GCF) of 7030 and 7048 is 2.

GCF(7030,7048) = 2

We will now calculate the prime factors of 7030 and 7048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7030 and 7048.

How to find the GCF of 7030 and 7048?

We will first find the prime factorization of 7030 and 7048. After we will calculate the factors of 7030 and 7048 and find the biggest common factor number .

Step-1: Prime Factorization of 7030

Prime factors of 7030 are 2, 5, 19, 37. Prime factorization of 7030 in exponential form is:

7030 = 2¹ × 5¹ × 19¹ × 37¹

Step-2: Prime Factorization of 7048

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

7048 = 2³ × 881¹

Step-3: Factors of 7030

List of positive integer factors of 7030 that divides 7030 without a remainder.

1, 2, 5, 10, 19, 37, 38, 74, 95, 185, 190, 370, 703, 1406, 3515

Step-4: Factors of 7048

List of positive integer factors of 7048 that divides 7030 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7030 and 7048. The biggest common factor number is the GCF number.
So the greatest common factor 7030 and 7048 is 2.

Also check out the Least Common Multiple of 7030 and 7048