What is the Greatest Common Factor of 77605 and 77610?

Greatest common factor (GCF) of 77605 and 77610 is 5.

GCF(77605,77610) = 5

We will now calculate the prime factors of 77605 and 77610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77605 and 77610.

How to find the GCF of 77605 and 77610?

We will first find the prime factorization of 77605 and 77610. After we will calculate the factors of 77605 and 77610 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 77610

Prime factors of 77610 are 2, 3, 5, 13, 199. Prime factorization of 77610 in exponential form is:

77610 = 2¹ × 3¹ × 5¹ × 13¹ × 199¹

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 77610

List of positive integer factors of 77610 that divides 77605 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 199, 390, 398, 597, 995, 1194, 1990, 2587, 2985, 5174, 5970, 7761, 12935, 15522, 25870, 38805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77605 and 77610. The biggest common factor number is the GCF number.
So the greatest common factor 77605 and 77610 is 5.

Also check out the Least Common Multiple of 77605 and 77610