What is the Greatest Common Factor of 77026 and 77032?

Greatest common factor (GCF) of 77026 and 77032 is 2.

GCF(77026,77032) = 2

We will now calculate the prime factors of 77026 and 77032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77026 and 77032.

How to find the GCF of 77026 and 77032?

We will first find the prime factorization of 77026 and 77032. After we will calculate the factors of 77026 and 77032 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77032

Prime factors of 77032 are 2, 9629. Prime factorization of 77032 in exponential form is:

77032 = 2³ × 9629¹

Step-3: Factors of 77026

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

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

Step-4: Factors of 77032

List of positive integer factors of 77032 that divides 77026 without a remainder.

1, 2, 4, 8, 9629, 19258, 38516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77026 and 77032. The biggest common factor number is the GCF number.
So the greatest common factor 77026 and 77032 is 2.

Also check out the Least Common Multiple of 77026 and 77032