What is the Greatest Common Factor of 20714 and 20732?

Greatest common factor (GCF) of 20714 and 20732 is 2.

GCF(20714,20732) = 2

We will now calculate the prime factors of 20714 and 20732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20714 and 20732.

How to find the GCF of 20714 and 20732?

We will first find the prime factorization of 20714 and 20732. After we will calculate the factors of 20714 and 20732 and find the biggest common factor number .

Step-1: Prime Factorization of 20714

Prime factors of 20714 are 2, 10357. Prime factorization of 20714 in exponential form is:

20714 = 2¹ × 10357¹

Step-2: Prime Factorization of 20732

Prime factors of 20732 are 2, 71, 73. Prime factorization of 20732 in exponential form is:

20732 = 2² × 71¹ × 73¹

Step-3: Factors of 20714

List of positive integer factors of 20714 that divides 20714 without a remainder.

1, 2, 10357

Step-4: Factors of 20732

List of positive integer factors of 20732 that divides 20714 without a remainder.

1, 2, 4, 71, 73, 142, 146, 284, 292, 5183, 10366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20714 and 20732. The biggest common factor number is the GCF number.
So the greatest common factor 20714 and 20732 is 2.

Also check out the Least Common Multiple of 20714 and 20732