What is the Greatest Common Factor of 44476 and 44490?

Greatest common factor (GCF) of 44476 and 44490 is 2.

GCF(44476,44490) = 2

We will now calculate the prime factors of 44476 and 44490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44476 and 44490.

How to find the GCF of 44476 and 44490?

We will first find the prime factorization of 44476 and 44490. After we will calculate the factors of 44476 and 44490 and find the biggest common factor number .

Step-1: Prime Factorization of 44476

Prime factors of 44476 are 2, 11119. Prime factorization of 44476 in exponential form is:

44476 = 2² × 11119¹

Step-2: Prime Factorization of 44490

Prime factors of 44490 are 2, 3, 5, 1483. Prime factorization of 44490 in exponential form is:

44490 = 2¹ × 3¹ × 5¹ × 1483¹

Step-3: Factors of 44476

List of positive integer factors of 44476 that divides 44476 without a remainder.

1, 2, 4, 11119, 22238

Step-4: Factors of 44490

List of positive integer factors of 44490 that divides 44476 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1483, 2966, 4449, 7415, 8898, 14830, 22245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44476 and 44490. The biggest common factor number is the GCF number.
So the greatest common factor 44476 and 44490 is 2.

Also check out the Least Common Multiple of 44476 and 44490