What is the Greatest Common Factor of 77605 and 77620?

Greatest common factor (GCF) of 77605 and 77620 is 5.

GCF(77605,77620) = 5

We will now calculate the prime factors of 77605 and 77620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77605 and 77620.

How to find the GCF of 77605 and 77620?

We will first find the prime factorization of 77605 and 77620. After we will calculate the factors of 77605 and 77620 and find the biggest common factor number .

Step-1: Prime Factorization of 77605

Prime factors of 77605 are 5, 11, 17, 83. Prime factorization of 77605 in exponential form is:

77605 = 5¹ × 11¹ × 17¹ × 83¹

Step-2: Prime Factorization of 77620

Prime factors of 77620 are 2, 5, 3881. Prime factorization of 77620 in exponential form is:

77620 = 2² × 5¹ × 3881¹

Step-3: Factors of 77605

List of positive integer factors of 77605 that divides 77605 without a remainder.

1, 5, 11, 17, 55, 83, 85, 187, 415, 913, 935, 1411, 4565, 7055, 15521

Step-4: Factors of 77620

List of positive integer factors of 77620 that divides 77605 without a remainder.

1, 2, 4, 5, 10, 20, 3881, 7762, 15524, 19405, 38810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77605 and 77620. The biggest common factor number is the GCF number.
So the greatest common factor 77605 and 77620 is 5.

Also check out the Least Common Multiple of 77605 and 77620