What is the Greatest Common Factor of 44842 and 44856?

Greatest common factor (GCF) of 44842 and 44856 is 14.

GCF(44842,44856) = 14

We will now calculate the prime factors of 44842 and 44856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44842 and 44856.

How to find the GCF of 44842 and 44856?

We will first find the prime factorization of 44842 and 44856. After we will calculate the factors of 44842 and 44856 and find the biggest common factor number .

Step-1: Prime Factorization of 44842

Prime factors of 44842 are 2, 7, 3203. Prime factorization of 44842 in exponential form is:

44842 = 2¹ × 7¹ × 3203¹

Step-2: Prime Factorization of 44856

Prime factors of 44856 are 2, 3, 7, 89. Prime factorization of 44856 in exponential form is:

44856 = 2³ × 3² × 7¹ × 89¹

Step-3: Factors of 44842

List of positive integer factors of 44842 that divides 44842 without a remainder.

1, 2, 7, 14, 3203, 6406, 22421

Step-4: Factors of 44856

List of positive integer factors of 44856 that divides 44842 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 89, 126, 168, 178, 252, 267, 356, 504, 534, 623, 712, 801, 1068, 1246, 1602, 1869, 2136, 2492, 3204, 3738, 4984, 5607, 6408, 7476, 11214, 14952, 22428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44842 and 44856. The biggest common factor number is the GCF number.
So the greatest common factor 44842 and 44856 is 14.

Also check out the Least Common Multiple of 44842 and 44856