What is the Greatest Common Factor of 44490 and 44510?

Greatest common factor (GCF) of 44490 and 44510 is 10.

GCF(44490,44510) = 10

We will now calculate the prime factors of 44490 and 44510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44490 and 44510.

How to find the GCF of 44490 and 44510?

We will first find the prime factorization of 44490 and 44510. After we will calculate the factors of 44490 and 44510 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44510

Prime factors of 44510 are 2, 5, 4451. Prime factorization of 44510 in exponential form is:

44510 = 2¹ × 5¹ × 4451¹

Step-3: Factors of 44490

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

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

Step-4: Factors of 44510

List of positive integer factors of 44510 that divides 44490 without a remainder.

1, 2, 5, 10, 4451, 8902, 22255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44490 and 44510. The biggest common factor number is the GCF number.
So the greatest common factor 44490 and 44510 is 10.

Also check out the Least Common Multiple of 44490 and 44510