What is the Greatest Common Factor of 77160 and 77170?

Greatest common factor (GCF) of 77160 and 77170 is 10.

GCF(77160,77170) = 10

We will now calculate the prime factors of 77160 and 77170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77160 and 77170.

How to find the GCF of 77160 and 77170?

We will first find the prime factorization of 77160 and 77170. After we will calculate the factors of 77160 and 77170 and find the biggest common factor number .

Step-1: Prime Factorization of 77160

Prime factors of 77160 are 2, 3, 5, 643. Prime factorization of 77160 in exponential form is:

77160 = 2³ × 3¹ × 5¹ × 643¹

Step-2: Prime Factorization of 77170

Prime factors of 77170 are 2, 5, 7717. Prime factorization of 77170 in exponential form is:

77170 = 2¹ × 5¹ × 7717¹

Step-3: Factors of 77160

List of positive integer factors of 77160 that divides 77160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 643, 1286, 1929, 2572, 3215, 3858, 5144, 6430, 7716, 9645, 12860, 15432, 19290, 25720, 38580

Step-4: Factors of 77170

List of positive integer factors of 77170 that divides 77160 without a remainder.

1, 2, 5, 10, 7717, 15434, 38585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77160 and 77170. The biggest common factor number is the GCF number.
So the greatest common factor 77160 and 77170 is 10.

Also check out the Least Common Multiple of 77160 and 77170