What is the Greatest Common Factor of 17030 and 17048?

Greatest common factor (GCF) of 17030 and 17048 is 2.

GCF(17030,17048) = 2

We will now calculate the prime factors of 17030 and 17048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17030 and 17048.

How to find the GCF of 17030 and 17048?

We will first find the prime factorization of 17030 and 17048. After we will calculate the factors of 17030 and 17048 and find the biggest common factor number .

Step-1: Prime Factorization of 17030

Prime factors of 17030 are 2, 5, 13, 131. Prime factorization of 17030 in exponential form is:

17030 = 2¹ × 5¹ × 13¹ × 131¹

Step-2: Prime Factorization of 17048

Prime factors of 17048 are 2, 2131. Prime factorization of 17048 in exponential form is:

17048 = 2³ × 2131¹

Step-3: Factors of 17030

List of positive integer factors of 17030 that divides 17030 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 131, 262, 655, 1310, 1703, 3406, 8515

Step-4: Factors of 17048

List of positive integer factors of 17048 that divides 17030 without a remainder.

1, 2, 4, 8, 2131, 4262, 8524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17030 and 17048. The biggest common factor number is the GCF number.
So the greatest common factor 17030 and 17048 is 2.

Also check out the Least Common Multiple of 17030 and 17048