What is the Greatest Common Factor of 44900 and 44912?

Greatest common factor (GCF) of 44900 and 44912 is 4.

GCF(44900,44912) = 4

We will now calculate the prime factors of 44900 and 44912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44900 and 44912.

How to find the GCF of 44900 and 44912?

We will first find the prime factorization of 44900 and 44912. After we will calculate the factors of 44900 and 44912 and find the biggest common factor number .

Step-1: Prime Factorization of 44900

Prime factors of 44900 are 2, 5, 449. Prime factorization of 44900 in exponential form is:

44900 = 2² × 5² × 449¹

Step-2: Prime Factorization of 44912

Prime factors of 44912 are 2, 7, 401. Prime factorization of 44912 in exponential form is:

44912 = 2⁴ × 7¹ × 401¹

Step-3: Factors of 44900

List of positive integer factors of 44900 that divides 44900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 449, 898, 1796, 2245, 4490, 8980, 11225, 22450

Step-4: Factors of 44912

List of positive integer factors of 44912 that divides 44900 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 401, 802, 1604, 2807, 3208, 5614, 6416, 11228, 22456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44900 and 44912. The biggest common factor number is the GCF number.
So the greatest common factor 44900 and 44912 is 4.

Also check out the Least Common Multiple of 44900 and 44912