What is the Greatest Common Factor of 77068 and 77074?

Greatest common factor (GCF) of 77068 and 77074 is 2.

GCF(77068,77074) = 2

We will now calculate the prime factors of 77068 and 77074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77068 and 77074.

How to find the GCF of 77068 and 77074?

We will first find the prime factorization of 77068 and 77074. After we will calculate the factors of 77068 and 77074 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 77074

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

77074 = 2¹ × 89¹ × 433¹

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 77074

List of positive integer factors of 77074 that divides 77068 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77068 and 77074. The biggest common factor number is the GCF number.
So the greatest common factor 77068 and 77074 is 2.

Also check out the Least Common Multiple of 77068 and 77074