What is the Greatest Common Factor of 77448 and 77466?

Greatest common factor (GCF) of 77448 and 77466 is 6.

GCF(77448,77466) = 6

We will now calculate the prime factors of 77448 and 77466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77448 and 77466.

How to find the GCF of 77448 and 77466?

We will first find the prime factorization of 77448 and 77466. After we will calculate the factors of 77448 and 77466 and find the biggest common factor number .

Step-1: Prime Factorization of 77448

Prime factors of 77448 are 2, 3, 7, 461. Prime factorization of 77448 in exponential form is:

77448 = 2³ × 3¹ × 7¹ × 461¹

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 77448

List of positive integer factors of 77448 that divides 77448 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 461, 922, 1383, 1844, 2766, 3227, 3688, 5532, 6454, 9681, 11064, 12908, 19362, 25816, 38724

Step-4: Factors of 77466

List of positive integer factors of 77466 that divides 77448 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77448 and 77466. The biggest common factor number is the GCF number.
So the greatest common factor 77448 and 77466 is 6.

Also check out the Least Common Multiple of 77448 and 77466