What is the Greatest Common Factor of 44900 and 44920?

Greatest common factor (GCF) of 44900 and 44920 is 20.

GCF(44900,44920) = 20

We will now calculate the prime factors of 44900 and 44920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44900 and 44920.

How to find the GCF of 44900 and 44920?

We will first find the prime factorization of 44900 and 44920. After we will calculate the factors of 44900 and 44920 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 44920

Prime factors of 44920 are 2, 5, 1123. Prime factorization of 44920 in exponential form is:

44920 = 2³ × 5¹ × 1123¹

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 44920

List of positive integer factors of 44920 that divides 44900 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1123, 2246, 4492, 5615, 8984, 11230, 22460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44900 and 44920. The biggest common factor number is the GCF number.
So the greatest common factor 44900 and 44920 is 20.

Also check out the Least Common Multiple of 44900 and 44920