What is the Greatest Common Factor of 77900 and 77910?

Greatest common factor (GCF) of 77900 and 77910 is 10.

GCF(77900,77910) = 10

We will now calculate the prime factors of 77900 and 77910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77900 and 77910.

How to find the GCF of 77900 and 77910?

We will first find the prime factorization of 77900 and 77910. After we will calculate the factors of 77900 and 77910 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77910

Prime factors of 77910 are 2, 3, 5, 7, 53. Prime factorization of 77910 in exponential form is:

77910 = 2¹ × 3¹ × 5¹ × 7² × 53¹

Step-3: Factors of 77900

List of positive integer factors of 77900 that divides 77900 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

Step-4: Factors of 77910

List of positive integer factors of 77910 that divides 77900 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 53, 70, 98, 105, 106, 147, 159, 210, 245, 265, 294, 318, 371, 490, 530, 735, 742, 795, 1113, 1470, 1590, 1855, 2226, 2597, 3710, 5194, 5565, 7791, 11130, 12985, 15582, 25970, 38955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77900 and 77910. The biggest common factor number is the GCF number.
So the greatest common factor 77900 and 77910 is 10.

Also check out the Least Common Multiple of 77900 and 77910