What is the Greatest Common Factor of 77074 and 77080?

Greatest common factor (GCF) of 77074 and 77080 is 2.

GCF(77074,77080) = 2

We will now calculate the prime factors of 77074 and 77080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77074 and 77080.

How to find the GCF of 77074 and 77080?

We will first find the prime factorization of 77074 and 77080. After we will calculate the factors of 77074 and 77080 and find the biggest common factor number .

Step-1: Prime Factorization of 77074

Prime factors of 77074 are 2, 89, 433. Prime factorization of 77074 in exponential form is:

77074 = 2¹ × 89¹ × 433¹

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 77074

List of positive integer factors of 77074 that divides 77074 without a remainder.

1, 2, 89, 178, 433, 866, 38537

Step-4: Factors of 77080

List of positive integer factors of 77080 that divides 77074 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 77074 and 77080. The biggest common factor number is the GCF number.
So the greatest common factor 77074 and 77080 is 2.

Also check out the Least Common Multiple of 77074 and 77080