What is the Greatest Common Factor of 77525 and 77543?

Greatest common factor (GCF) of 77525 and 77543 is 1.

GCF(77525,77543) = 1

We will now calculate the prime factors of 77525 and 77543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77525 and 77543.

How to find the GCF of 77525 and 77543?

We will first find the prime factorization of 77525 and 77543. After we will calculate the factors of 77525 and 77543 and find the biggest common factor number .

Step-1: Prime Factorization of 77525

Prime factors of 77525 are 5, 7, 443. Prime factorization of 77525 in exponential form is:

77525 = 5² × 7¹ × 443¹

Step-2: Prime Factorization of 77543

Prime factors of 77543 are 77543. Prime factorization of 77543 in exponential form is:

77543 = 77543¹

Step-3: Factors of 77525

List of positive integer factors of 77525 that divides 77525 without a remainder.

1, 5, 7, 25, 35, 175, 443, 2215, 3101, 11075, 15505

Step-4: Factors of 77543

List of positive integer factors of 77543 that divides 77525 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77525 and 77543. The biggest common factor number is the GCF number.
So the greatest common factor 77525 and 77543 is 1.

Also check out the Least Common Multiple of 77525 and 77543