What is the Greatest Common Factor of 17444 and 17458?

Greatest common factor (GCF) of 17444 and 17458 is 14.

GCF(17444,17458) = 14

We will now calculate the prime factors of 17444 and 17458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17444 and 17458.

How to find the GCF of 17444 and 17458?

We will first find the prime factorization of 17444 and 17458. After we will calculate the factors of 17444 and 17458 and find the biggest common factor number .

Step-1: Prime Factorization of 17444

Prime factors of 17444 are 2, 7, 89. Prime factorization of 17444 in exponential form is:

17444 = 2² × 7² × 89¹

Step-2: Prime Factorization of 17458

Prime factors of 17458 are 2, 7, 29, 43. Prime factorization of 17458 in exponential form is:

17458 = 2¹ × 7¹ × 29¹ × 43¹

Step-3: Factors of 17444

List of positive integer factors of 17444 that divides 17444 without a remainder.

1, 2, 4, 7, 14, 28, 49, 89, 98, 178, 196, 356, 623, 1246, 2492, 4361, 8722

Step-4: Factors of 17458

List of positive integer factors of 17458 that divides 17444 without a remainder.

1, 2, 7, 14, 29, 43, 58, 86, 203, 301, 406, 602, 1247, 2494, 8729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17444 and 17458. The biggest common factor number is the GCF number.
So the greatest common factor 17444 and 17458 is 14.

Also check out the Least Common Multiple of 17444 and 17458