What is the Greatest Common Factor of 77335 and 77352?

Greatest common factor (GCF) of 77335 and 77352 is 1.

GCF(77335,77352) = 1

We will now calculate the prime factors of 77335 and 77352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77335 and 77352.

How to find the GCF of 77335 and 77352?

We will first find the prime factorization of 77335 and 77352. After we will calculate the factors of 77335 and 77352 and find the biggest common factor number .

Step-1: Prime Factorization of 77335

Prime factors of 77335 are 5, 15467. Prime factorization of 77335 in exponential form is:

77335 = 5¹ × 15467¹

Step-2: Prime Factorization of 77352

Prime factors of 77352 are 2, 3, 11, 293. Prime factorization of 77352 in exponential form is:

77352 = 2³ × 3¹ × 11¹ × 293¹

Step-3: Factors of 77335

List of positive integer factors of 77335 that divides 77335 without a remainder.

1, 5, 15467

Step-4: Factors of 77352

List of positive integer factors of 77352 that divides 77335 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 293, 586, 879, 1172, 1758, 2344, 3223, 3516, 6446, 7032, 9669, 12892, 19338, 25784, 38676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77335 and 77352. The biggest common factor number is the GCF number.
So the greatest common factor 77335 and 77352 is 1.

Also check out the Least Common Multiple of 77335 and 77352