What is the Greatest Common Factor of 70539 and 70551?

Greatest common factor (GCF) of 70539 and 70551 is 3.

GCF(70539,70551) = 3

We will now calculate the prime factors of 70539 and 70551, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70539 and 70551.

How to find the GCF of 70539 and 70551?

We will first find the prime factorization of 70539 and 70551. After we will calculate the factors of 70539 and 70551 and find the biggest common factor number .

Step-1: Prime Factorization of 70539

Prime factors of 70539 are 3, 7, 3359. Prime factorization of 70539 in exponential form is:

70539 = 3¹ × 7¹ × 3359¹

Step-2: 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-3: Factors of 70539

List of positive integer factors of 70539 that divides 70539 without a remainder.

1, 3, 7, 21, 3359, 10077, 23513

Step-4: Factors of 70551

List of positive integer factors of 70551 that divides 70539 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70539 and 70551. The biggest common factor number is the GCF number.
So the greatest common factor 70539 and 70551 is 3.

Also check out the Least Common Multiple of 70539 and 70551