What is the Greatest Common Factor of 20722 and 20740?

Greatest common factor (GCF) of 20722 and 20740 is 2.

GCF(20722,20740) = 2

We will now calculate the prime factors of 20722 and 20740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20722 and 20740.

How to find the GCF of 20722 and 20740?

We will first find the prime factorization of 20722 and 20740. After we will calculate the factors of 20722 and 20740 and find the biggest common factor number .

Step-1: Prime Factorization of 20722

Prime factors of 20722 are 2, 13, 797. Prime factorization of 20722 in exponential form is:

20722 = 2¹ × 13¹ × 797¹

Step-2: Prime Factorization of 20740

Prime factors of 20740 are 2, 5, 17, 61. Prime factorization of 20740 in exponential form is:

20740 = 2² × 5¹ × 17¹ × 61¹

Step-3: Factors of 20722

List of positive integer factors of 20722 that divides 20722 without a remainder.

1, 2, 13, 26, 797, 1594, 10361

Step-4: Factors of 20740

List of positive integer factors of 20740 that divides 20722 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 61, 68, 85, 122, 170, 244, 305, 340, 610, 1037, 1220, 2074, 4148, 5185, 10370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20722 and 20740. The biggest common factor number is the GCF number.
So the greatest common factor 20722 and 20740 is 2.

Also check out the Least Common Multiple of 20722 and 20740