What is the Greatest Common Factor of 74795 and 74809?

Greatest common factor (GCF) of 74795 and 74809 is 7.

GCF(74795,74809) = 7

We will now calculate the prime factors of 74795 and 74809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74795 and 74809.

How to find the GCF of 74795 and 74809?

We will first find the prime factorization of 74795 and 74809. After we will calculate the factors of 74795 and 74809 and find the biggest common factor number .

Step-1: Prime Factorization of 74795

Prime factors of 74795 are 5, 7, 2137. Prime factorization of 74795 in exponential form is:

74795 = 5¹ × 7¹ × 2137¹

Step-2: Prime Factorization of 74809

Prime factors of 74809 are 7, 10687. Prime factorization of 74809 in exponential form is:

74809 = 7¹ × 10687¹

Step-3: Factors of 74795

List of positive integer factors of 74795 that divides 74795 without a remainder.

1, 5, 7, 35, 2137, 10685, 14959

Step-4: Factors of 74809

List of positive integer factors of 74809 that divides 74795 without a remainder.

1, 7, 10687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74795 and 74809. The biggest common factor number is the GCF number.
So the greatest common factor 74795 and 74809 is 7.

Also check out the Least Common Multiple of 74795 and 74809