What is the Greatest Common Factor of 79805 and 79825?

Greatest common factor (GCF) of 79805 and 79825 is 5.

GCF(79805,79825) = 5

We will now calculate the prime factors of 79805 and 79825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79805 and 79825.

How to find the GCF of 79805 and 79825?

We will first find the prime factorization of 79805 and 79825. After we will calculate the factors of 79805 and 79825 and find the biggest common factor number .

Step-1: Prime Factorization of 79805

Prime factors of 79805 are 5, 11, 1451. Prime factorization of 79805 in exponential form is:

79805 = 5¹ × 11¹ × 1451¹

Step-2: Prime Factorization of 79825

Prime factors of 79825 are 5, 31, 103. Prime factorization of 79825 in exponential form is:

79825 = 5² × 31¹ × 103¹

Step-3: Factors of 79805

List of positive integer factors of 79805 that divides 79805 without a remainder.

1, 5, 11, 55, 1451, 7255, 15961

Step-4: Factors of 79825

List of positive integer factors of 79825 that divides 79805 without a remainder.

1, 5, 25, 31, 103, 155, 515, 775, 2575, 3193, 15965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79805 and 79825. The biggest common factor number is the GCF number.
So the greatest common factor 79805 and 79825 is 5.

Also check out the Least Common Multiple of 79805 and 79825