What is the Greatest Common Factor of 77325 and 77343?

Greatest common factor (GCF) of 77325 and 77343 is 3.

GCF(77325,77343) = 3

We will now calculate the prime factors of 77325 and 77343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77325 and 77343.

How to find the GCF of 77325 and 77343?

We will first find the prime factorization of 77325 and 77343. After we will calculate the factors of 77325 and 77343 and find the biggest common factor number .

Step-1: Prime Factorization of 77325

Prime factors of 77325 are 3, 5, 1031. Prime factorization of 77325 in exponential form is:

77325 = 3¹ × 5² × 1031¹

Step-2: Prime Factorization of 77343

Prime factors of 77343 are 3, 7, 29, 127. Prime factorization of 77343 in exponential form is:

77343 = 3¹ × 7¹ × 29¹ × 127¹

Step-3: Factors of 77325

List of positive integer factors of 77325 that divides 77325 without a remainder.

1, 3, 5, 15, 25, 75, 1031, 3093, 5155, 15465, 25775

Step-4: Factors of 77343

List of positive integer factors of 77343 that divides 77325 without a remainder.

1, 3, 7, 21, 29, 87, 127, 203, 381, 609, 889, 2667, 3683, 11049, 25781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77325 and 77343. The biggest common factor number is the GCF number.
So the greatest common factor 77325 and 77343 is 3.

Also check out the Least Common Multiple of 77325 and 77343