What is the Greatest Common Factor of 77322 and 77331?

Greatest common factor (GCF) of 77322 and 77331 is 3.

GCF(77322,77331) = 3

We will now calculate the prime factors of 77322 and 77331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77322 and 77331.

How to find the GCF of 77322 and 77331?

We will first find the prime factorization of 77322 and 77331. After we will calculate the factors of 77322 and 77331 and find the biggest common factor number .

Step-1: Prime Factorization of 77322

Prime factors of 77322 are 2, 3, 7, 263. Prime factorization of 77322 in exponential form is:

77322 = 2¹ × 3¹ × 7² × 263¹

Step-2: Prime Factorization of 77331

Prime factors of 77331 are 3, 149, 173. Prime factorization of 77331 in exponential form is:

77331 = 3¹ × 149¹ × 173¹

Step-3: Factors of 77322

List of positive integer factors of 77322 that divides 77322 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 263, 294, 526, 789, 1578, 1841, 3682, 5523, 11046, 12887, 25774, 38661

Step-4: Factors of 77331

List of positive integer factors of 77331 that divides 77322 without a remainder.

1, 3, 149, 173, 447, 519, 25777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77322 and 77331. The biggest common factor number is the GCF number.
So the greatest common factor 77322 and 77331 is 3.

Also check out the Least Common Multiple of 77322 and 77331