What is the Greatest Common Factor of 70788 and 70792?

Greatest common factor (GCF) of 70788 and 70792 is 4.

GCF(70788,70792) = 4

We will now calculate the prime factors of 70788 and 70792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70788 and 70792.

How to find the GCF of 70788 and 70792?

We will first find the prime factorization of 70788 and 70792. After we will calculate the factors of 70788 and 70792 and find the biggest common factor number .

Step-1: Prime Factorization of 70788

Prime factors of 70788 are 2, 3, 17, 347. Prime factorization of 70788 in exponential form is:

70788 = 2² × 3¹ × 17¹ × 347¹

Step-2: Prime Factorization of 70792

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

70792 = 2³ × 8849¹

Step-3: Factors of 70788

List of positive integer factors of 70788 that divides 70788 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 347, 694, 1041, 1388, 2082, 4164, 5899, 11798, 17697, 23596, 35394

Step-4: Factors of 70792

List of positive integer factors of 70792 that divides 70788 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70788 and 70792. The biggest common factor number is the GCF number.
So the greatest common factor 70788 and 70792 is 4.

Also check out the Least Common Multiple of 70788 and 70792