What is the Greatest Common Factor of 77376 and 77395?

Greatest common factor (GCF) of 77376 and 77395 is 1.

GCF(77376,77395) = 1

We will now calculate the prime factors of 77376 and 77395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77376 and 77395.

How to find the GCF of 77376 and 77395?

We will first find the prime factorization of 77376 and 77395. After we will calculate the factors of 77376 and 77395 and find the biggest common factor number .

Step-1: Prime Factorization of 77376

Prime factors of 77376 are 2, 3, 13, 31. Prime factorization of 77376 in exponential form is:

77376 = 2⁶ × 3¹ × 13¹ × 31¹

Step-2: Prime Factorization of 77395

Prime factors of 77395 are 5, 23, 673. Prime factorization of 77395 in exponential form is:

77395 = 5¹ × 23¹ × 673¹

Step-3: Factors of 77376

List of positive integer factors of 77376 that divides 77376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 31, 32, 39, 48, 52, 62, 64, 78, 93, 96, 104, 124, 156, 186, 192, 208, 248, 312, 372, 403, 416, 496, 624, 744, 806, 832, 992, 1209, 1248, 1488, 1612, 1984, 2418, 2496, 2976, 3224, 4836, 5952, 6448, 9672, 12896, 19344, 25792, 38688

Step-4: Factors of 77395

List of positive integer factors of 77395 that divides 77376 without a remainder.

1, 5, 23, 115, 673, 3365, 15479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77376 and 77395. The biggest common factor number is the GCF number.
So the greatest common factor 77376 and 77395 is 1.

Also check out the Least Common Multiple of 77376 and 77395