What is the Greatest Common Factor of 83780 and 83800?

Greatest common factor (GCF) of 83780 and 83800 is 20.

GCF(83780,83800) = 20

We will now calculate the prime factors of 83780 and 83800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83780 and 83800.

How to find the GCF of 83780 and 83800?

We will first find the prime factorization of 83780 and 83800. After we will calculate the factors of 83780 and 83800 and find the biggest common factor number .

Step-1: Prime Factorization of 83780

Prime factors of 83780 are 2, 5, 59, 71. Prime factorization of 83780 in exponential form is:

83780 = 2² × 5¹ × 59¹ × 71¹

Step-2: Prime Factorization of 83800

Prime factors of 83800 are 2, 5, 419. Prime factorization of 83800 in exponential form is:

83800 = 2³ × 5² × 419¹

Step-3: Factors of 83780

List of positive integer factors of 83780 that divides 83780 without a remainder.

1, 2, 4, 5, 10, 20, 59, 71, 118, 142, 236, 284, 295, 355, 590, 710, 1180, 1420, 4189, 8378, 16756, 20945, 41890

Step-4: Factors of 83800

List of positive integer factors of 83800 that divides 83780 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 419, 838, 1676, 2095, 3352, 4190, 8380, 10475, 16760, 20950, 41900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83780 and 83800. The biggest common factor number is the GCF number.
So the greatest common factor 83780 and 83800 is 20.

Also check out the Least Common Multiple of 83780 and 83800