What is the Greatest Common Factor of 77160 and 77168?

Greatest common factor (GCF) of 77160 and 77168 is 8.

GCF(77160,77168) = 8

We will now calculate the prime factors of 77160 and 77168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77160 and 77168.

How to find the GCF of 77160 and 77168?

We will first find the prime factorization of 77160 and 77168. After we will calculate the factors of 77160 and 77168 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 77168

Prime factors of 77168 are 2, 7, 13, 53. Prime factorization of 77168 in exponential form is:

77168 = 2⁴ × 7¹ × 13¹ × 53¹

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 77168

List of positive integer factors of 77168 that divides 77160 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 53, 56, 91, 104, 106, 112, 182, 208, 212, 364, 371, 424, 689, 728, 742, 848, 1378, 1456, 1484, 2756, 2968, 4823, 5512, 5936, 9646, 11024, 19292, 38584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77160 and 77168. The biggest common factor number is the GCF number.
So the greatest common factor 77160 and 77168 is 8.

Also check out the Least Common Multiple of 77160 and 77168