What is the Greatest Common Factor of 44488 and 44498?

Greatest common factor (GCF) of 44488 and 44498 is 2.

GCF(44488,44498) = 2

We will now calculate the prime factors of 44488 and 44498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44488 and 44498.

How to find the GCF of 44488 and 44498?

We will first find the prime factorization of 44488 and 44498. After we will calculate the factors of 44488 and 44498 and find the biggest common factor number .

Step-1: Prime Factorization of 44488

Prime factors of 44488 are 2, 67, 83. Prime factorization of 44488 in exponential form is:

44488 = 2³ × 67¹ × 83¹

Step-2: Prime Factorization of 44498

Prime factors of 44498 are 2, 19, 1171. Prime factorization of 44498 in exponential form is:

44498 = 2¹ × 19¹ × 1171¹

Step-3: Factors of 44488

List of positive integer factors of 44488 that divides 44488 without a remainder.

1, 2, 4, 8, 67, 83, 134, 166, 268, 332, 536, 664, 5561, 11122, 22244

Step-4: Factors of 44498

List of positive integer factors of 44498 that divides 44488 without a remainder.

1, 2, 19, 38, 1171, 2342, 22249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44488 and 44498. The biggest common factor number is the GCF number.
So the greatest common factor 44488 and 44498 is 2.

Also check out the Least Common Multiple of 44488 and 44498