What is the Greatest Common Factor of 77365 and 77376?

Greatest common factor (GCF) of 77365 and 77376 is 1.

GCF(77365,77376) = 1

We will now calculate the prime factors of 77365 and 77376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77365 and 77376.

How to find the GCF of 77365 and 77376?

We will first find the prime factorization of 77365 and 77376. After we will calculate the factors of 77365 and 77376 and find the biggest common factor number .

Step-1: Prime Factorization of 77365

Prime factors of 77365 are 5, 15473. Prime factorization of 77365 in exponential form is:

77365 = 5¹ × 15473¹

Step-2: 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-3: Factors of 77365

List of positive integer factors of 77365 that divides 77365 without a remainder.

1, 5, 15473

Step-4: Factors of 77376

List of positive integer factors of 77376 that divides 77365 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77365 and 77376. The biggest common factor number is the GCF number.
So the greatest common factor 77365 and 77376 is 1.

Also check out the Least Common Multiple of 77365 and 77376