What is the Greatest Common Factor of 77062 and 77080?

Greatest common factor (GCF) of 77062 and 77080 is 2.

GCF(77062,77080) = 2

We will now calculate the prime factors of 77062 and 77080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77062 and 77080.

How to find the GCF of 77062 and 77080?

We will first find the prime factorization of 77062 and 77080. After we will calculate the factors of 77062 and 77080 and find the biggest common factor number .

Step-1: Prime Factorization of 77062

Prime factors of 77062 are 2, 53, 727. Prime factorization of 77062 in exponential form is:

77062 = 2¹ × 53¹ × 727¹

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 77062

List of positive integer factors of 77062 that divides 77062 without a remainder.

1, 2, 53, 106, 727, 1454, 38531

Step-4: Factors of 77080

List of positive integer factors of 77080 that divides 77062 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 77062 and 77080. The biggest common factor number is the GCF number.
So the greatest common factor 77062 and 77080 is 2.

Also check out the Least Common Multiple of 77062 and 77080