What is the Greatest Common Factor of 77068 and 77080?

Greatest common factor (GCF) of 77068 and 77080 is 4.

GCF(77068,77080) = 4

We will now calculate the prime factors of 77068 and 77080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77068 and 77080.

How to find the GCF of 77068 and 77080?

We will first find the prime factorization of 77068 and 77080. After we will calculate the factors of 77068 and 77080 and find the biggest common factor number .

Step-1: Prime Factorization of 77068

Prime factors of 77068 are 2, 19267. Prime factorization of 77068 in exponential form is:

77068 = 2² × 19267¹

Step-2: Prime Factorization of 77080

Prime factors of 77080 are 2, 5, 41, 47. Prime factorization of 77080 in exponential form is:

77080 = 2³ × 5¹ × 41¹ × 47¹

Step-3: Factors of 77068

List of positive integer factors of 77068 that divides 77068 without a remainder.

1, 2, 4, 19267, 38534

Step-4: Factors of 77080

List of positive integer factors of 77080 that divides 77068 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 41, 47, 82, 94, 164, 188, 205, 235, 328, 376, 410, 470, 820, 940, 1640, 1880, 1927, 3854, 7708, 9635, 15416, 19270, 38540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77068 and 77080. The biggest common factor number is the GCF number.
So the greatest common factor 77068 and 77080 is 4.

Also check out the Least Common Multiple of 77068 and 77080