What is the Greatest Common Factor of 70551 and 70563?

Greatest common factor (GCF) of 70551 and 70563 is 3.

GCF(70551,70563) = 3

We will now calculate the prime factors of 70551 and 70563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70551 and 70563.

How to find the GCF of 70551 and 70563?

We will first find the prime factorization of 70551 and 70563. After we will calculate the factors of 70551 and 70563 and find the biggest common factor number .

Step-1: Prime Factorization of 70551

Prime factors of 70551 are 3, 13, 67. Prime factorization of 70551 in exponential form is:

70551 = 3⁴ × 13¹ × 67¹

Step-2: 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-3: Factors of 70551

List of positive integer factors of 70551 that divides 70551 without a remainder.

1, 3, 9, 13, 27, 39, 67, 81, 117, 201, 351, 603, 871, 1053, 1809, 2613, 5427, 7839, 23517

Step-4: Factors of 70563

List of positive integer factors of 70563 that divides 70551 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70551 and 70563. The biggest common factor number is the GCF number.
So the greatest common factor 70551 and 70563 is 3.

Also check out the Least Common Multiple of 70551 and 70563