What is the Greatest Common Factor of 70905 and 70923?

Greatest common factor (GCF) of 70905 and 70923 is 3.

GCF(70905,70923) = 3

We will now calculate the prime factors of 70905 and 70923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70905 and 70923.

How to find the GCF of 70905 and 70923?

We will first find the prime factorization of 70905 and 70923. After we will calculate the factors of 70905 and 70923 and find the biggest common factor number .

Step-1: Prime Factorization of 70905

Prime factors of 70905 are 3, 5, 29, 163. Prime factorization of 70905 in exponential form is:

70905 = 3¹ × 5¹ × 29¹ × 163¹

Step-2: Prime Factorization of 70923

Prime factors of 70923 are 3, 47, 503. Prime factorization of 70923 in exponential form is:

70923 = 3¹ × 47¹ × 503¹

Step-3: Factors of 70905

List of positive integer factors of 70905 that divides 70905 without a remainder.

1, 3, 5, 15, 29, 87, 145, 163, 435, 489, 815, 2445, 4727, 14181, 23635

Step-4: Factors of 70923

List of positive integer factors of 70923 that divides 70905 without a remainder.

1, 3, 47, 141, 503, 1509, 23641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70905 and 70923. The biggest common factor number is the GCF number.
So the greatest common factor 70905 and 70923 is 3.

Also check out the Least Common Multiple of 70905 and 70923