What is the Greatest Common Factor of 17780 and 17800?

Greatest common factor (GCF) of 17780 and 17800 is 20.

GCF(17780,17800) = 20

We will now calculate the prime factors of 17780 and 17800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17780 and 17800.

How to find the GCF of 17780 and 17800?

We will first find the prime factorization of 17780 and 17800. After we will calculate the factors of 17780 and 17800 and find the biggest common factor number .

Step-1: Prime Factorization of 17780

Prime factors of 17780 are 2, 5, 7, 127. Prime factorization of 17780 in exponential form is:

17780 = 2² × 5¹ × 7¹ × 127¹

Step-2: Prime Factorization of 17800

Prime factors of 17800 are 2, 5, 89. Prime factorization of 17800 in exponential form is:

17800 = 2³ × 5² × 89¹

Step-3: Factors of 17780

List of positive integer factors of 17780 that divides 17780 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 127, 140, 254, 508, 635, 889, 1270, 1778, 2540, 3556, 4445, 8890

Step-4: Factors of 17800

List of positive integer factors of 17800 that divides 17780 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 89, 100, 178, 200, 356, 445, 712, 890, 1780, 2225, 3560, 4450, 8900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17780 and 17800. The biggest common factor number is the GCF number.
So the greatest common factor 17780 and 17800 is 20.

Also check out the Least Common Multiple of 17780 and 17800