What is the Greatest Common Factor of 77146 and 77150?

Greatest common factor (GCF) of 77146 and 77150 is 2.

GCF(77146,77150) = 2

We will now calculate the prime factors of 77146 and 77150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77146 and 77150.

How to find the GCF of 77146 and 77150?

We will first find the prime factorization of 77146 and 77150. After we will calculate the factors of 77146 and 77150 and find the biggest common factor number .

Step-1: Prime Factorization of 77146

Prime factors of 77146 are 2, 17, 2269. Prime factorization of 77146 in exponential form is:

77146 = 2¹ × 17¹ × 2269¹

Step-2: Prime Factorization of 77150

Prime factors of 77150 are 2, 5, 1543. Prime factorization of 77150 in exponential form is:

77150 = 2¹ × 5² × 1543¹

Step-3: Factors of 77146

List of positive integer factors of 77146 that divides 77146 without a remainder.

1, 2, 17, 34, 2269, 4538, 38573

Step-4: Factors of 77150

List of positive integer factors of 77150 that divides 77146 without a remainder.

1, 2, 5, 10, 25, 50, 1543, 3086, 7715, 15430, 38575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77146 and 77150. The biggest common factor number is the GCF number.
So the greatest common factor 77146 and 77150 is 2.

Also check out the Least Common Multiple of 77146 and 77150