What is the Greatest Common Factor of 77074 and 77089?

Greatest common factor (GCF) of 77074 and 77089 is 1.

GCF(77074,77089) = 1

We will now calculate the prime factors of 77074 and 77089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77074 and 77089.

How to find the GCF of 77074 and 77089?

We will first find the prime factorization of 77074 and 77089. After we will calculate the factors of 77074 and 77089 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 77089

Prime factors of 77089 are 127, 607. Prime factorization of 77089 in exponential form is:

77089 = 127¹ × 607¹

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 77089

List of positive integer factors of 77089 that divides 77074 without a remainder.

1, 127, 607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77074 and 77089. The biggest common factor number is the GCF number.
So the greatest common factor 77074 and 77089 is 1.

Also check out the Least Common Multiple of 77074 and 77089