What is the Greatest Common Factor of 77322 and 77337?

Greatest common factor (GCF) of 77322 and 77337 is 3.

GCF(77322,77337) = 3

We will now calculate the prime factors of 77322 and 77337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77322 and 77337.

How to find the GCF of 77322 and 77337?

We will first find the prime factorization of 77322 and 77337. After we will calculate the factors of 77322 and 77337 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 77337

Prime factors of 77337 are 3, 13, 661. Prime factorization of 77337 in exponential form is:

77337 = 3² × 13¹ × 661¹

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 77337

List of positive integer factors of 77337 that divides 77322 without a remainder.

1, 3, 9, 13, 39, 117, 661, 1983, 5949, 8593, 25779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77322 and 77337. The biggest common factor number is the GCF number.
So the greatest common factor 77322 and 77337 is 3.

Also check out the Least Common Multiple of 77322 and 77337