What is the Greatest Common Factor of 70792 and 70809?

Greatest common factor (GCF) of 70792 and 70809 is 1.

GCF(70792,70809) = 1

We will now calculate the prime factors of 70792 and 70809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70792 and 70809.

How to find the GCF of 70792 and 70809?

We will first find the prime factorization of 70792 and 70809. After we will calculate the factors of 70792 and 70809 and find the biggest common factor number .

Step-1: Prime Factorization of 70792

Prime factors of 70792 are 2, 8849. Prime factorization of 70792 in exponential form is:

70792 = 2³ × 8849¹

Step-2: Prime Factorization of 70809

Prime factors of 70809 are 3, 23603. Prime factorization of 70809 in exponential form is:

70809 = 3¹ × 23603¹

Step-3: Factors of 70792

List of positive integer factors of 70792 that divides 70792 without a remainder.

1, 2, 4, 8, 8849, 17698, 35396

Step-4: Factors of 70809

List of positive integer factors of 70809 that divides 70792 without a remainder.

1, 3, 23603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70792 and 70809. The biggest common factor number is the GCF number.
So the greatest common factor 70792 and 70809 is 1.

Also check out the Least Common Multiple of 70792 and 70809