What is the Greatest Common Factor of 77009 and 77026?

Greatest common factor (GCF) of 77009 and 77026 is 1.

GCF(77009,77026) = 1

We will now calculate the prime factors of 77009 and 77026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77009 and 77026.

How to find the GCF of 77009 and 77026?

We will first find the prime factorization of 77009 and 77026. After we will calculate the factors of 77009 and 77026 and find the biggest common factor number .

Step-1: Prime Factorization of 77009

Prime factors of 77009 are 53, 1453. Prime factorization of 77009 in exponential form is:

77009 = 53¹ × 1453¹

Step-2: Prime Factorization of 77026

Prime factors of 77026 are 2, 19, 2027. Prime factorization of 77026 in exponential form is:

77026 = 2¹ × 19¹ × 2027¹

Step-3: Factors of 77009

List of positive integer factors of 77009 that divides 77009 without a remainder.

1, 53, 1453

Step-4: Factors of 77026

List of positive integer factors of 77026 that divides 77009 without a remainder.

1, 2, 19, 38, 2027, 4054, 38513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77009 and 77026. The biggest common factor number is the GCF number.
So the greatest common factor 77009 and 77026 is 1.

Also check out the Least Common Multiple of 77009 and 77026