What is the Greatest Common Factor of 77322 and 77336?

Greatest common factor (GCF) of 77322 and 77336 is 14.

GCF(77322,77336) = 14

We will now calculate the prime factors of 77322 and 77336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77322 and 77336.

How to find the GCF of 77322 and 77336?

We will first find the prime factorization of 77322 and 77336. After we will calculate the factors of 77322 and 77336 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 77336

Prime factors of 77336 are 2, 7, 1381. Prime factorization of 77336 in exponential form is:

77336 = 2³ × 7¹ × 1381¹

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 77336

List of positive integer factors of 77336 that divides 77322 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1381, 2762, 5524, 9667, 11048, 19334, 38668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77322 and 77336. The biggest common factor number is the GCF number.
So the greatest common factor 77322 and 77336 is 14.

Also check out the Least Common Multiple of 77322 and 77336