What is the Greatest Common Factor of 77457 and 77466?

Greatest common factor (GCF) of 77457 and 77466 is 3.

GCF(77457,77466) = 3

We will now calculate the prime factors of 77457 and 77466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77457 and 77466.

How to find the GCF of 77457 and 77466?

We will first find the prime factorization of 77457 and 77466. After we will calculate the factors of 77457 and 77466 and find the biggest common factor number .

Step-1: Prime Factorization of 77457

Prime factors of 77457 are 3, 25819. Prime factorization of 77457 in exponential form is:

77457 = 3¹ × 25819¹

Step-2: Prime Factorization of 77466

Prime factors of 77466 are 2, 3, 12911. Prime factorization of 77466 in exponential form is:

77466 = 2¹ × 3¹ × 12911¹

Step-3: Factors of 77457

List of positive integer factors of 77457 that divides 77457 without a remainder.

1, 3, 25819

Step-4: Factors of 77466

List of positive integer factors of 77466 that divides 77457 without a remainder.

1, 2, 3, 6, 12911, 25822, 38733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77457 and 77466. The biggest common factor number is the GCF number.
So the greatest common factor 77457 and 77466 is 3.

Also check out the Least Common Multiple of 77457 and 77466