What is the Greatest Common Factor of 77887 and 77904?

Greatest common factor (GCF) of 77887 and 77904 is 1.

GCF(77887,77904) = 1

We will now calculate the prime factors of 77887 and 77904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77887 and 77904.

How to find the GCF of 77887 and 77904?

We will first find the prime factorization of 77887 and 77904. After we will calculate the factors of 77887 and 77904 and find the biggest common factor number .

Step-1: Prime Factorization of 77887

Prime factors of 77887 are 71, 1097. Prime factorization of 77887 in exponential form is:

77887 = 71¹ × 1097¹

Step-2: Prime Factorization of 77904

Prime factors of 77904 are 2, 3, 541. Prime factorization of 77904 in exponential form is:

77904 = 2⁴ × 3² × 541¹

Step-3: Factors of 77887

List of positive integer factors of 77887 that divides 77887 without a remainder.

1, 71, 1097

Step-4: Factors of 77904

List of positive integer factors of 77904 that divides 77887 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 541, 1082, 1623, 2164, 3246, 4328, 4869, 6492, 8656, 9738, 12984, 19476, 25968, 38952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77887 and 77904. The biggest common factor number is the GCF number.
So the greatest common factor 77887 and 77904 is 1.

Also check out the Least Common Multiple of 77887 and 77904