What is the Greatest Common Factor of 77825 and 77831?

Greatest common factor (GCF) of 77825 and 77831 is 1.

GCF(77825,77831) = 1

We will now calculate the prime factors of 77825 and 77831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77825 and 77831.

How to find the GCF of 77825 and 77831?

We will first find the prime factorization of 77825 and 77831. After we will calculate the factors of 77825 and 77831 and find the biggest common factor number .

Step-1: Prime Factorization of 77825

Prime factors of 77825 are 5, 11, 283. Prime factorization of 77825 in exponential form is:

77825 = 5² × 11¹ × 283¹

Step-2: Prime Factorization of 77831

Prime factors of 77831 are 13, 5987. Prime factorization of 77831 in exponential form is:

77831 = 13¹ × 5987¹

Step-3: Factors of 77825

List of positive integer factors of 77825 that divides 77825 without a remainder.

1, 5, 11, 25, 55, 275, 283, 1415, 3113, 7075, 15565

Step-4: Factors of 77831

List of positive integer factors of 77831 that divides 77825 without a remainder.

1, 13, 5987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77825 and 77831. The biggest common factor number is the GCF number.
So the greatest common factor 77825 and 77831 is 1.

Also check out the Least Common Multiple of 77825 and 77831