What is the Greatest Common Factor of 77163 and 77175?

Greatest common factor (GCF) of 77163 and 77175 is 3.

GCF(77163,77175) = 3

We will now calculate the prime factors of 77163 and 77175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77163 and 77175.

How to find the GCF of 77163 and 77175?

We will first find the prime factorization of 77163 and 77175. After we will calculate the factors of 77163 and 77175 and find the biggest common factor number .

Step-1: Prime Factorization of 77163

Prime factors of 77163 are 3, 17, 89. Prime factorization of 77163 in exponential form is:

77163 = 3¹ × 17² × 89¹

Step-2: Prime Factorization of 77175

Prime factors of 77175 are 3, 5, 7. Prime factorization of 77175 in exponential form is:

77175 = 3² × 5² × 7³

Step-3: Factors of 77163

List of positive integer factors of 77163 that divides 77163 without a remainder.

1, 3, 17, 51, 89, 267, 289, 867, 1513, 4539, 25721

Step-4: Factors of 77175

List of positive integer factors of 77175 that divides 77163 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 49, 63, 75, 105, 147, 175, 225, 245, 315, 343, 441, 525, 735, 1029, 1225, 1575, 1715, 2205, 3087, 3675, 5145, 8575, 11025, 15435, 25725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77163 and 77175. The biggest common factor number is the GCF number.
So the greatest common factor 77163 and 77175 is 3.

Also check out the Least Common Multiple of 77163 and 77175