What is the Greatest Common Factor of 77349 and 77354?

Greatest common factor (GCF) of 77349 and 77354 is 1.

GCF(77349,77354) = 1

We will now calculate the prime factors of 77349 and 77354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77349 and 77354.

How to find the GCF of 77349 and 77354?

We will first find the prime factorization of 77349 and 77354. After we will calculate the factors of 77349 and 77354 and find the biggest common factor number .

Step-1: Prime Factorization of 77349

Prime factors of 77349 are 3, 19, 23, 59. Prime factorization of 77349 in exponential form is:

77349 = 3¹ × 19¹ × 23¹ × 59¹

Step-2: Prime Factorization of 77354

Prime factors of 77354 are 2, 38677. Prime factorization of 77354 in exponential form is:

77354 = 2¹ × 38677¹

Step-3: Factors of 77349

List of positive integer factors of 77349 that divides 77349 without a remainder.

1, 3, 19, 23, 57, 59, 69, 177, 437, 1121, 1311, 1357, 3363, 4071, 25783

Step-4: Factors of 77354

List of positive integer factors of 77354 that divides 77349 without a remainder.

1, 2, 38677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77349 and 77354. The biggest common factor number is the GCF number.
So the greatest common factor 77349 and 77354 is 1.

Also check out the Least Common Multiple of 77349 and 77354