What is the Greatest Common Factor of 44225 and 44240?

Greatest common factor (GCF) of 44225 and 44240 is 5.

GCF(44225,44240) = 5

We will now calculate the prime factors of 44225 and 44240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44225 and 44240.

How to find the GCF of 44225 and 44240?

We will first find the prime factorization of 44225 and 44240. After we will calculate the factors of 44225 and 44240 and find the biggest common factor number .

Step-1: Prime Factorization of 44225

Prime factors of 44225 are 5, 29, 61. Prime factorization of 44225 in exponential form is:

44225 = 5² × 29¹ × 61¹

Step-2: Prime Factorization of 44240

Prime factors of 44240 are 2, 5, 7, 79. Prime factorization of 44240 in exponential form is:

44240 = 2⁴ × 5¹ × 7¹ × 79¹

Step-3: Factors of 44225

List of positive integer factors of 44225 that divides 44225 without a remainder.

1, 5, 25, 29, 61, 145, 305, 725, 1525, 1769, 8845

Step-4: Factors of 44240

List of positive integer factors of 44240 that divides 44225 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 79, 80, 112, 140, 158, 280, 316, 395, 553, 560, 632, 790, 1106, 1264, 1580, 2212, 2765, 3160, 4424, 5530, 6320, 8848, 11060, 22120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44225 and 44240. The biggest common factor number is the GCF number.
So the greatest common factor 44225 and 44240 is 5.

Also check out the Least Common Multiple of 44225 and 44240