What is the Greatest Common Factor of 61780 and 61800?

Greatest common factor (GCF) of 61780 and 61800 is 20.

GCF(61780,61800) = 20

We will now calculate the prime factors of 61780 and 61800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61780 and 61800.

How to find the GCF of 61780 and 61800?

We will first find the prime factorization of 61780 and 61800. After we will calculate the factors of 61780 and 61800 and find the biggest common factor number .

Step-1: Prime Factorization of 61780

Prime factors of 61780 are 2, 5, 3089. Prime factorization of 61780 in exponential form is:

61780 = 2² × 5¹ × 3089¹

Step-2: Prime Factorization of 61800

Prime factors of 61800 are 2, 3, 5, 103. Prime factorization of 61800 in exponential form is:

61800 = 2³ × 3¹ × 5² × 103¹

Step-3: Factors of 61780

List of positive integer factors of 61780 that divides 61780 without a remainder.

1, 2, 4, 5, 10, 20, 3089, 6178, 12356, 15445, 30890

Step-4: Factors of 61800

List of positive integer factors of 61800 that divides 61780 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 103, 120, 150, 200, 206, 300, 309, 412, 515, 600, 618, 824, 1030, 1236, 1545, 2060, 2472, 2575, 3090, 4120, 5150, 6180, 7725, 10300, 12360, 15450, 20600, 30900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61780 and 61800. The biggest common factor number is the GCF number.
So the greatest common factor 61780 and 61800 is 20.

Also check out the Least Common Multiple of 61780 and 61800