What is the Greatest Common Factor of 77882 and 77900?

Greatest common factor (GCF) of 77882 and 77900 is 2.

GCF(77882,77900) = 2

We will now calculate the prime factors of 77882 and 77900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77882 and 77900.

How to find the GCF of 77882 and 77900?

We will first find the prime factorization of 77882 and 77900. After we will calculate the factors of 77882 and 77900 and find the biggest common factor number .

Step-1: Prime Factorization of 77882

Prime factors of 77882 are 2, 7, 5563. Prime factorization of 77882 in exponential form is:

77882 = 2¹ × 7¹ × 5563¹

Step-2: Prime Factorization of 77900

Prime factors of 77900 are 2, 5, 19, 41. Prime factorization of 77900 in exponential form is:

77900 = 2² × 5² × 19¹ × 41¹

Step-3: Factors of 77882

List of positive integer factors of 77882 that divides 77882 without a remainder.

1, 2, 7, 14, 5563, 11126, 38941

Step-4: Factors of 77900

List of positive integer factors of 77900 that divides 77882 without a remainder.

1, 2, 4, 5, 10, 19, 20, 25, 38, 41, 50, 76, 82, 95, 100, 164, 190, 205, 380, 410, 475, 779, 820, 950, 1025, 1558, 1900, 2050, 3116, 3895, 4100, 7790, 15580, 19475, 38950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77882 and 77900. The biggest common factor number is the GCF number.
So the greatest common factor 77882 and 77900 is 2.

Also check out the Least Common Multiple of 77882 and 77900