What is the Greatest Common Factor of 20649 and 20661?

Greatest common factor (GCF) of 20649 and 20661 is 3.

GCF(20649,20661) = 3

We will now calculate the prime factors of 20649 and 20661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20649 and 20661.

How to find the GCF of 20649 and 20661?

We will first find the prime factorization of 20649 and 20661. After we will calculate the factors of 20649 and 20661 and find the biggest common factor number .

Step-1: Prime Factorization of 20649

Prime factors of 20649 are 3, 6883. Prime factorization of 20649 in exponential form is:

20649 = 3¹ × 6883¹

Step-2: Prime Factorization of 20661

Prime factors of 20661 are 3, 71, 97. Prime factorization of 20661 in exponential form is:

20661 = 3¹ × 71¹ × 97¹

Step-3: Factors of 20649

List of positive integer factors of 20649 that divides 20649 without a remainder.

1, 3, 6883

Step-4: Factors of 20661

List of positive integer factors of 20661 that divides 20649 without a remainder.

1, 3, 71, 97, 213, 291, 6887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20649 and 20661. The biggest common factor number is the GCF number.
So the greatest common factor 20649 and 20661 is 3.

Also check out the Least Common Multiple of 20649 and 20661