What is the Greatest Common Factor of 20720 and 20734?

Greatest common factor (GCF) of 20720 and 20734 is 14.

GCF(20720,20734) = 14

We will now calculate the prime factors of 20720 and 20734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20720 and 20734.

How to find the GCF of 20720 and 20734?

We will first find the prime factorization of 20720 and 20734. After we will calculate the factors of 20720 and 20734 and find the biggest common factor number .

Step-1: Prime Factorization of 20720

Prime factors of 20720 are 2, 5, 7, 37. Prime factorization of 20720 in exponential form is:

20720 = 2⁴ × 5¹ × 7¹ × 37¹

Step-2: Prime Factorization of 20734

Prime factors of 20734 are 2, 7, 1481. Prime factorization of 20734 in exponential form is:

20734 = 2¹ × 7¹ × 1481¹

Step-3: Factors of 20720

List of positive integer factors of 20720 that divides 20720 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 37, 40, 56, 70, 74, 80, 112, 140, 148, 185, 259, 280, 296, 370, 518, 560, 592, 740, 1036, 1295, 1480, 2072, 2590, 2960, 4144, 5180, 10360

Step-4: Factors of 20734

List of positive integer factors of 20734 that divides 20720 without a remainder.

1, 2, 7, 14, 1481, 2962, 10367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20720 and 20734. The biggest common factor number is the GCF number.
So the greatest common factor 20720 and 20734 is 14.

Also check out the Least Common Multiple of 20720 and 20734