What is the Greatest Common Factor of 17437 and 17444?

Greatest common factor (GCF) of 17437 and 17444 is 7.

GCF(17437,17444) = 7

We will now calculate the prime factors of 17437 and 17444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17437 and 17444.

How to find the GCF of 17437 and 17444?

We will first find the prime factorization of 17437 and 17444. After we will calculate the factors of 17437 and 17444 and find the biggest common factor number .

Step-1: Prime Factorization of 17437

Prime factors of 17437 are 7, 47, 53. Prime factorization of 17437 in exponential form is:

17437 = 7¹ × 47¹ × 53¹

Step-2: 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-3: Factors of 17437

List of positive integer factors of 17437 that divides 17437 without a remainder.

1, 7, 47, 53, 329, 371, 2491

Step-4: Factors of 17444

List of positive integer factors of 17444 that divides 17437 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17437 and 17444. The biggest common factor number is the GCF number.
So the greatest common factor 17437 and 17444 is 7.

Also check out the Least Common Multiple of 17437 and 17444