What is the Greatest Common Factor of 20650 and 20662?

Greatest common factor (GCF) of 20650 and 20662 is 2.

GCF(20650,20662) = 2

We will now calculate the prime factors of 20650 and 20662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20650 and 20662.

How to find the GCF of 20650 and 20662?

We will first find the prime factorization of 20650 and 20662. After we will calculate the factors of 20650 and 20662 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 20662

Prime factors of 20662 are 2, 10331. Prime factorization of 20662 in exponential form is:

20662 = 2¹ × 10331¹

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 20662

List of positive integer factors of 20662 that divides 20650 without a remainder.

1, 2, 10331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20650 and 20662. The biggest common factor number is the GCF number.
So the greatest common factor 20650 and 20662 is 2.

Also check out the Least Common Multiple of 20650 and 20662