What is the Greatest Common Factor of 44170 and 44177?

Greatest common factor (GCF) of 44170 and 44177 is 7.

GCF(44170,44177) = 7

We will now calculate the prime factors of 44170 and 44177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44170 and 44177.

How to find the GCF of 44170 and 44177?

We will first find the prime factorization of 44170 and 44177. After we will calculate the factors of 44170 and 44177 and find the biggest common factor number .

Step-1: Prime Factorization of 44170

Prime factors of 44170 are 2, 5, 7, 631. Prime factorization of 44170 in exponential form is:

44170 = 2¹ × 5¹ × 7¹ × 631¹

Step-2: Prime Factorization of 44177

Prime factors of 44177 are 7, 6311. Prime factorization of 44177 in exponential form is:

44177 = 7¹ × 6311¹

Step-3: Factors of 44170

List of positive integer factors of 44170 that divides 44170 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 631, 1262, 3155, 4417, 6310, 8834, 22085

Step-4: Factors of 44177

List of positive integer factors of 44177 that divides 44170 without a remainder.

1, 7, 6311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44170 and 44177. The biggest common factor number is the GCF number.
So the greatest common factor 44170 and 44177 is 7.

Also check out the Least Common Multiple of 44170 and 44177