What is the Greatest Common Factor of 77322 and 77341?

Greatest common factor (GCF) of 77322 and 77341 is 1.

GCF(77322,77341) = 1

We will now calculate the prime factors of 77322 and 77341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77322 and 77341.

How to find the GCF of 77322 and 77341?

We will first find the prime factorization of 77322 and 77341. After we will calculate the factors of 77322 and 77341 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 77341

Prime factors of 77341 are 11, 79, 89. Prime factorization of 77341 in exponential form is:

77341 = 11¹ × 79¹ × 89¹

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 77341

List of positive integer factors of 77341 that divides 77322 without a remainder.

1, 11, 79, 89, 869, 979, 7031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77322 and 77341. The biggest common factor number is the GCF number.
So the greatest common factor 77322 and 77341 is 1.

Also check out the Least Common Multiple of 77322 and 77341