What is the Greatest Common Factor of 70548 and 70557?

Greatest common factor (GCF) of 70548 and 70557 is 3.

GCF(70548,70557) = 3

We will now calculate the prime factors of 70548 and 70557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70548 and 70557.

How to find the GCF of 70548 and 70557?

We will first find the prime factorization of 70548 and 70557. After we will calculate the factors of 70548 and 70557 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70557

Prime factors of 70557 are 3, 29, 811. Prime factorization of 70557 in exponential form is:

70557 = 3¹ × 29¹ × 811¹

Step-3: Factors of 70548

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

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

Step-4: Factors of 70557

List of positive integer factors of 70557 that divides 70548 without a remainder.

1, 3, 29, 87, 811, 2433, 23519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70548 and 70557. The biggest common factor number is the GCF number.
So the greatest common factor 70548 and 70557 is 3.

Also check out the Least Common Multiple of 70548 and 70557