What is the Greatest Common Factor of 20738 and 20750?

Greatest common factor (GCF) of 20738 and 20750 is 2.

GCF(20738,20750) = 2

We will now calculate the prime factors of 20738 and 20750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20738 and 20750.

How to find the GCF of 20738 and 20750?

We will first find the prime factorization of 20738 and 20750. After we will calculate the factors of 20738 and 20750 and find the biggest common factor number .

Step-1: Prime Factorization of 20738

Prime factors of 20738 are 2, 10369. Prime factorization of 20738 in exponential form is:

20738 = 2¹ × 10369¹

Step-2: Prime Factorization of 20750

Prime factors of 20750 are 2, 5, 83. Prime factorization of 20750 in exponential form is:

20750 = 2¹ × 5³ × 83¹

Step-3: Factors of 20738

List of positive integer factors of 20738 that divides 20738 without a remainder.

1, 2, 10369

Step-4: Factors of 20750

List of positive integer factors of 20750 that divides 20738 without a remainder.

1, 2, 5, 10, 25, 50, 83, 125, 166, 250, 415, 830, 2075, 4150, 10375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20738 and 20750. The biggest common factor number is the GCF number.
So the greatest common factor 20738 and 20750 is 2.

Also check out the Least Common Multiple of 20738 and 20750