What is the Greatest Common Factor of 44275 and 44295?

Greatest common factor (GCF) of 44275 and 44295 is 5.

GCF(44275,44295) = 5

We will now calculate the prime factors of 44275 and 44295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44275 and 44295.

How to find the GCF of 44275 and 44295?

We will first find the prime factorization of 44275 and 44295. After we will calculate the factors of 44275 and 44295 and find the biggest common factor number .

Step-1: Prime Factorization of 44275

Prime factors of 44275 are 5, 7, 11, 23. Prime factorization of 44275 in exponential form is:

44275 = 5² × 7¹ × 11¹ × 23¹

Step-2: Prime Factorization of 44295

Prime factors of 44295 are 3, 5, 2953. Prime factorization of 44295 in exponential form is:

44295 = 3¹ × 5¹ × 2953¹

Step-3: Factors of 44275

List of positive integer factors of 44275 that divides 44275 without a remainder.

1, 5, 7, 11, 23, 25, 35, 55, 77, 115, 161, 175, 253, 275, 385, 575, 805, 1265, 1771, 1925, 4025, 6325, 8855

Step-4: Factors of 44295

List of positive integer factors of 44295 that divides 44275 without a remainder.

1, 3, 5, 15, 2953, 8859, 14765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44275 and 44295. The biggest common factor number is the GCF number.
So the greatest common factor 44275 and 44295 is 5.

Also check out the Least Common Multiple of 44275 and 44295