What is the Greatest Common Factor of 44562 and 44569?

Greatest common factor (GCF) of 44562 and 44569 is 7.

GCF(44562,44569) = 7

We will now calculate the prime factors of 44562 and 44569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44562 and 44569.

How to find the GCF of 44562 and 44569?

We will first find the prime factorization of 44562 and 44569. After we will calculate the factors of 44562 and 44569 and find the biggest common factor number .

Step-1: Prime Factorization of 44562

Prime factors of 44562 are 2, 3, 7, 1061. Prime factorization of 44562 in exponential form is:

44562 = 2¹ × 3¹ × 7¹ × 1061¹

Step-2: Prime Factorization of 44569

Prime factors of 44569 are 7, 6367. Prime factorization of 44569 in exponential form is:

44569 = 7¹ × 6367¹

Step-3: Factors of 44562

List of positive integer factors of 44562 that divides 44562 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1061, 2122, 3183, 6366, 7427, 14854, 22281

Step-4: Factors of 44569

List of positive integer factors of 44569 that divides 44562 without a remainder.

1, 7, 6367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44562 and 44569. The biggest common factor number is the GCF number.
So the greatest common factor 44562 and 44569 is 7.

Also check out the Least Common Multiple of 44562 and 44569