What is the Greatest Common Factor of 70563 and 70569?

Greatest common factor (GCF) of 70563 and 70569 is 3.

GCF(70563,70569) = 3

We will now calculate the prime factors of 70563 and 70569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70563 and 70569.

How to find the GCF of 70563 and 70569?

We will first find the prime factorization of 70563 and 70569. After we will calculate the factors of 70563 and 70569 and find the biggest common factor number .

Step-1: Prime Factorization of 70563

Prime factors of 70563 are 3, 43, 547. Prime factorization of 70563 in exponential form is:

70563 = 3¹ × 43¹ × 547¹

Step-2: Prime Factorization of 70569

Prime factors of 70569 are 3, 7841. Prime factorization of 70569 in exponential form is:

70569 = 3² × 7841¹

Step-3: Factors of 70563

List of positive integer factors of 70563 that divides 70563 without a remainder.

1, 3, 43, 129, 547, 1641, 23521

Step-4: Factors of 70569

List of positive integer factors of 70569 that divides 70563 without a remainder.

1, 3, 9, 7841, 23523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70563 and 70569. The biggest common factor number is the GCF number.
So the greatest common factor 70563 and 70569 is 3.

Also check out the Least Common Multiple of 70563 and 70569