What is the Greatest Common Factor of 20514 and 20522?

Greatest common factor (GCF) of 20514 and 20522 is 2.

GCF(20514,20522) = 2

We will now calculate the prime factors of 20514 and 20522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20514 and 20522.

How to find the GCF of 20514 and 20522?

We will first find the prime factorization of 20514 and 20522. After we will calculate the factors of 20514 and 20522 and find the biggest common factor number .

Step-1: Prime Factorization of 20514

Prime factors of 20514 are 2, 3, 13, 263. Prime factorization of 20514 in exponential form is:

20514 = 2¹ × 3¹ × 13¹ × 263¹

Step-2: Prime Factorization of 20522

Prime factors of 20522 are 2, 31, 331. Prime factorization of 20522 in exponential form is:

20522 = 2¹ × 31¹ × 331¹

Step-3: Factors of 20514

List of positive integer factors of 20514 that divides 20514 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 263, 526, 789, 1578, 3419, 6838, 10257

Step-4: Factors of 20522

List of positive integer factors of 20522 that divides 20514 without a remainder.

1, 2, 31, 62, 331, 662, 10261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20514 and 20522. The biggest common factor number is the GCF number.
So the greatest common factor 20514 and 20522 is 2.

Also check out the Least Common Multiple of 20514 and 20522