What is the Greatest Common Factor of 77008 and 77026?

Greatest common factor (GCF) of 77008 and 77026 is 2.

GCF(77008,77026) = 2

We will now calculate the prime factors of 77008 and 77026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77008 and 77026.

How to find the GCF of 77008 and 77026?

We will first find the prime factorization of 77008 and 77026. After we will calculate the factors of 77008 and 77026 and find the biggest common factor number .

Step-1: Prime Factorization of 77008

Prime factors of 77008 are 2, 4813. Prime factorization of 77008 in exponential form is:

77008 = 2⁴ × 4813¹

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 77008

List of positive integer factors of 77008 that divides 77008 without a remainder.

1, 2, 4, 8, 16, 4813, 9626, 19252, 38504

Step-4: Factors of 77026

List of positive integer factors of 77026 that divides 77008 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77008 and 77026. The biggest common factor number is the GCF number.
So the greatest common factor 77008 and 77026 is 2.

Also check out the Least Common Multiple of 77008 and 77026