What is the Greatest Common Factor of 77504 and 77521?

Greatest common factor (GCF) of 77504 and 77521 is 1.

GCF(77504,77521) = 1

We will now calculate the prime factors of 77504 and 77521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77504 and 77521.

How to find the GCF of 77504 and 77521?

We will first find the prime factorization of 77504 and 77521. After we will calculate the factors of 77504 and 77521 and find the biggest common factor number .

Step-1: Prime Factorization of 77504

Prime factors of 77504 are 2, 7, 173. Prime factorization of 77504 in exponential form is:

77504 = 2⁶ × 7¹ × 173¹

Step-2: Prime Factorization of 77521

Prime factors of 77521 are 77521. Prime factorization of 77521 in exponential form is:

77521 = 77521¹

Step-3: Factors of 77504

List of positive integer factors of 77504 that divides 77504 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 173, 224, 346, 448, 692, 1211, 1384, 2422, 2768, 4844, 5536, 9688, 11072, 19376, 38752

Step-4: Factors of 77521

List of positive integer factors of 77521 that divides 77504 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77504 and 77521. The biggest common factor number is the GCF number.
So the greatest common factor 77504 and 77521 is 1.

Also check out the Least Common Multiple of 77504 and 77521