What is the Greatest Common Factor of 20650 and 20654?

Greatest common factor (GCF) of 20650 and 20654 is 2.

GCF(20650,20654) = 2

We will now calculate the prime factors of 20650 and 20654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20650 and 20654.

How to find the GCF of 20650 and 20654?

We will first find the prime factorization of 20650 and 20654. After we will calculate the factors of 20650 and 20654 and find the biggest common factor number .

Step-1: Prime Factorization of 20650

Prime factors of 20650 are 2, 5, 7, 59. Prime factorization of 20650 in exponential form is:

20650 = 2¹ × 5² × 7¹ × 59¹

Step-2: Prime Factorization of 20654

Prime factors of 20654 are 2, 23, 449. Prime factorization of 20654 in exponential form is:

20654 = 2¹ × 23¹ × 449¹

Step-3: Factors of 20650

List of positive integer factors of 20650 that divides 20650 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 59, 70, 118, 175, 295, 350, 413, 590, 826, 1475, 2065, 2950, 4130, 10325

Step-4: Factors of 20654

List of positive integer factors of 20654 that divides 20650 without a remainder.

1, 2, 23, 46, 449, 898, 10327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20650 and 20654. The biggest common factor number is the GCF number.
So the greatest common factor 20650 and 20654 is 2.

Also check out the Least Common Multiple of 20650 and 20654