What is the Greatest Common Factor of 77168 and 77177?

Greatest common factor (GCF) of 77168 and 77177 is 1.

GCF(77168,77177) = 1

We will now calculate the prime factors of 77168 and 77177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77168 and 77177.

How to find the GCF of 77168 and 77177?

We will first find the prime factorization of 77168 and 77177. After we will calculate the factors of 77168 and 77177 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77177

Prime factors of 77177 are 71, 1087. Prime factorization of 77177 in exponential form is:

77177 = 71¹ × 1087¹

Step-3: Factors of 77168

List of positive integer factors of 77168 that divides 77168 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

Step-4: Factors of 77177

List of positive integer factors of 77177 that divides 77168 without a remainder.

1, 71, 1087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77168 and 77177. The biggest common factor number is the GCF number.
So the greatest common factor 77168 and 77177 is 1.

Also check out the Least Common Multiple of 77168 and 77177