What is the Greatest Common Factor of 77164 and 77168?

Greatest common factor (GCF) of 77164 and 77168 is 4.

GCF(77164,77168) = 4

We will now calculate the prime factors of 77164 and 77168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77164 and 77168.

How to find the GCF of 77164 and 77168?

We will first find the prime factorization of 77164 and 77168. After we will calculate the factors of 77164 and 77168 and find the biggest common factor number .

Step-1: Prime Factorization of 77164

Prime factors of 77164 are 2, 101, 191. Prime factorization of 77164 in exponential form is:

77164 = 2² × 101¹ × 191¹

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 77164

List of positive integer factors of 77164 that divides 77164 without a remainder.

1, 2, 4, 101, 191, 202, 382, 404, 764, 19291, 38582

Step-4: Factors of 77168

List of positive integer factors of 77168 that divides 77164 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 77164 and 77168. The biggest common factor number is the GCF number.
So the greatest common factor 77164 and 77168 is 4.

Also check out the Least Common Multiple of 77164 and 77168