What is the Greatest Common Factor of 41890 and 41900?

Greatest common factor (GCF) of 41890 and 41900 is 10.

GCF(41890,41900) = 10

We will now calculate the prime factors of 41890 and 41900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41890 and 41900.

How to find the GCF of 41890 and 41900?

We will first find the prime factorization of 41890 and 41900. After we will calculate the factors of 41890 and 41900 and find the biggest common factor number .

Step-1: Prime Factorization of 41890

Prime factors of 41890 are 2, 5, 59, 71. Prime factorization of 41890 in exponential form is:

41890 = 2¹ × 5¹ × 59¹ × 71¹

Step-2: Prime Factorization of 41900

Prime factors of 41900 are 2, 5, 419. Prime factorization of 41900 in exponential form is:

41900 = 2² × 5² × 419¹

Step-3: Factors of 41890

List of positive integer factors of 41890 that divides 41890 without a remainder.

1, 2, 5, 10, 59, 71, 118, 142, 295, 355, 590, 710, 4189, 8378, 20945

Step-4: Factors of 41900

List of positive integer factors of 41900 that divides 41890 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 419, 838, 1676, 2095, 4190, 8380, 10475, 20950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41890 and 41900. The biggest common factor number is the GCF number.
So the greatest common factor 41890 and 41900 is 10.

Also check out the Least Common Multiple of 41890 and 41900