What is the Greatest Common Factor of 21890 and 21910?

Greatest common factor (GCF) of 21890 and 21910 is 10.

GCF(21890,21910) = 10

We will now calculate the prime factors of 21890 and 21910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21890 and 21910.

How to find the GCF of 21890 and 21910?

We will first find the prime factorization of 21890 and 21910. After we will calculate the factors of 21890 and 21910 and find the biggest common factor number .

Step-1: Prime Factorization of 21890

Prime factors of 21890 are 2, 5, 11, 199. Prime factorization of 21890 in exponential form is:

21890 = 2¹ × 5¹ × 11¹ × 199¹

Step-2: Prime Factorization of 21910

Prime factors of 21910 are 2, 5, 7, 313. Prime factorization of 21910 in exponential form is:

21910 = 2¹ × 5¹ × 7¹ × 313¹

Step-3: Factors of 21890

List of positive integer factors of 21890 that divides 21890 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 199, 398, 995, 1990, 2189, 4378, 10945

Step-4: Factors of 21910

List of positive integer factors of 21910 that divides 21890 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 313, 626, 1565, 2191, 3130, 4382, 10955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21890 and 21910. The biggest common factor number is the GCF number.
So the greatest common factor 21890 and 21910 is 10.

Also check out the Least Common Multiple of 21890 and 21910