What is the Greatest Common Factor of 70539 and 70548?

Greatest common factor (GCF) of 70539 and 70548 is 3.

GCF(70539,70548) = 3

We will now calculate the prime factors of 70539 and 70548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70539 and 70548.

How to find the GCF of 70539 and 70548?

We will first find the prime factorization of 70539 and 70548. After we will calculate the factors of 70539 and 70548 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 70548

Prime factors of 70548 are 2, 3, 5879. Prime factorization of 70548 in exponential form is:

70548 = 2² × 3¹ × 5879¹

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 70548

List of positive integer factors of 70548 that divides 70539 without a remainder.

1, 2, 3, 4, 6, 12, 5879, 11758, 17637, 23516, 35274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70539 and 70548. The biggest common factor number is the GCF number.
So the greatest common factor 70539 and 70548 is 3.

Also check out the Least Common Multiple of 70539 and 70548