What is the Greatest Common Factor of 70563 and 70581?

Greatest common factor (GCF) of 70563 and 70581 is 3.

GCF(70563,70581) = 3

We will now calculate the prime factors of 70563 and 70581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70563 and 70581.

How to find the GCF of 70563 and 70581?

We will first find the prime factorization of 70563 and 70581. After we will calculate the factors of 70563 and 70581 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 70581

Prime factors of 70581 are 3, 7, 3361. Prime factorization of 70581 in exponential form is:

70581 = 3¹ × 7¹ × 3361¹

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 70581

List of positive integer factors of 70581 that divides 70563 without a remainder.

1, 3, 7, 21, 3361, 10083, 23527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70563 and 70581. The biggest common factor number is the GCF number.
So the greatest common factor 70563 and 70581 is 3.

Also check out the Least Common Multiple of 70563 and 70581