What is the Greatest Common Factor of 77155 and 77168?

Greatest common factor (GCF) of 77155 and 77168 is 13.

GCF(77155,77168) = 13

We will now calculate the prime factors of 77155 and 77168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77155 and 77168.

How to find the GCF of 77155 and 77168?

We will first find the prime factorization of 77155 and 77168. After we will calculate the factors of 77155 and 77168 and find the biggest common factor number .

Step-1: Prime Factorization of 77155

Prime factors of 77155 are 5, 13, 1187. Prime factorization of 77155 in exponential form is:

77155 = 5¹ × 13¹ × 1187¹

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 77155

List of positive integer factors of 77155 that divides 77155 without a remainder.

1, 5, 13, 65, 1187, 5935, 15431

Step-4: Factors of 77168

List of positive integer factors of 77168 that divides 77155 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 77155 and 77168. The biggest common factor number is the GCF number.
So the greatest common factor 77155 and 77168 is 13.

Also check out the Least Common Multiple of 77155 and 77168