What is the Greatest Common Factor of 20740 and 20758?

Greatest common factor (GCF) of 20740 and 20758 is 2.

GCF(20740,20758) = 2

We will now calculate the prime factors of 20740 and 20758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20740 and 20758.

How to find the GCF of 20740 and 20758?

We will first find the prime factorization of 20740 and 20758. After we will calculate the factors of 20740 and 20758 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20758

Prime factors of 20758 are 2, 97, 107. Prime factorization of 20758 in exponential form is:

20758 = 2¹ × 97¹ × 107¹

Step-3: Factors of 20740

List of positive integer factors of 20740 that divides 20740 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

Step-4: Factors of 20758

List of positive integer factors of 20758 that divides 20740 without a remainder.

1, 2, 97, 107, 194, 214, 10379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20740 and 20758. The biggest common factor number is the GCF number.
So the greatest common factor 20740 and 20758 is 2.

Also check out the Least Common Multiple of 20740 and 20758