What is the Greatest Common Factor of 44030 and 44048?

Greatest common factor (GCF) of 44030 and 44048 is 2.

GCF(44030,44048) = 2

We will now calculate the prime factors of 44030 and 44048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44030 and 44048.

How to find the GCF of 44030 and 44048?

We will first find the prime factorization of 44030 and 44048. After we will calculate the factors of 44030 and 44048 and find the biggest common factor number .

Step-1: Prime Factorization of 44030

Prime factors of 44030 are 2, 5, 7, 17, 37. Prime factorization of 44030 in exponential form is:

44030 = 2¹ × 5¹ × 7¹ × 17¹ × 37¹

Step-2: Prime Factorization of 44048

Prime factors of 44048 are 2, 2753. Prime factorization of 44048 in exponential form is:

44048 = 2⁴ × 2753¹

Step-3: Factors of 44030

List of positive integer factors of 44030 that divides 44030 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 37, 70, 74, 85, 119, 170, 185, 238, 259, 370, 518, 595, 629, 1190, 1258, 1295, 2590, 3145, 4403, 6290, 8806, 22015

Step-4: Factors of 44048

List of positive integer factors of 44048 that divides 44030 without a remainder.

1, 2, 4, 8, 16, 2753, 5506, 11012, 22024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44030 and 44048. The biggest common factor number is the GCF number.
So the greatest common factor 44030 and 44048 is 2.

Also check out the Least Common Multiple of 44030 and 44048