What is the Greatest Common Factor of 40890 and 40900?

Greatest common factor (GCF) of 40890 and 40900 is 10.

GCF(40890,40900) = 10

We will now calculate the prime factors of 40890 and 40900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40890 and 40900.

How to find the GCF of 40890 and 40900?

We will first find the prime factorization of 40890 and 40900. After we will calculate the factors of 40890 and 40900 and find the biggest common factor number .

Step-1: Prime Factorization of 40890

Prime factors of 40890 are 2, 3, 5, 29, 47. Prime factorization of 40890 in exponential form is:

40890 = 2¹ × 3¹ × 5¹ × 29¹ × 47¹

Step-2: Prime Factorization of 40900

Prime factors of 40900 are 2, 5, 409. Prime factorization of 40900 in exponential form is:

40900 = 2² × 5² × 409¹

Step-3: Factors of 40890

List of positive integer factors of 40890 that divides 40890 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 47, 58, 87, 94, 141, 145, 174, 235, 282, 290, 435, 470, 705, 870, 1363, 1410, 2726, 4089, 6815, 8178, 13630, 20445

Step-4: Factors of 40900

List of positive integer factors of 40900 that divides 40890 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 409, 818, 1636, 2045, 4090, 8180, 10225, 20450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40890 and 40900. The biggest common factor number is the GCF number.
So the greatest common factor 40890 and 40900 is 10.

Also check out the Least Common Multiple of 40890 and 40900