What is the Greatest Common Factor of 44821 and 44835?

Greatest common factor (GCF) of 44821 and 44835 is 7.

GCF(44821,44835) = 7

We will now calculate the prime factors of 44821 and 44835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44821 and 44835.

How to find the GCF of 44821 and 44835?

We will first find the prime factorization of 44821 and 44835. After we will calculate the factors of 44821 and 44835 and find the biggest common factor number .

Step-1: Prime Factorization of 44821

Prime factors of 44821 are 7, 19, 337. Prime factorization of 44821 in exponential form is:

44821 = 7¹ × 19¹ × 337¹

Step-2: Prime Factorization of 44835

Prime factors of 44835 are 3, 5, 7, 61. Prime factorization of 44835 in exponential form is:

44835 = 3¹ × 5¹ × 7² × 61¹

Step-3: Factors of 44821

List of positive integer factors of 44821 that divides 44821 without a remainder.

1, 7, 19, 133, 337, 2359, 6403

Step-4: Factors of 44835

List of positive integer factors of 44835 that divides 44821 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 61, 105, 147, 183, 245, 305, 427, 735, 915, 1281, 2135, 2989, 6405, 8967, 14945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44821 and 44835. The biggest common factor number is the GCF number.
So the greatest common factor 44821 and 44835 is 7.

Also check out the Least Common Multiple of 44821 and 44835