What is the Greatest Common Factor of 70548 and 70561?

Greatest common factor (GCF) of 70548 and 70561 is 1.

GCF(70548,70561) = 1

We will now calculate the prime factors of 70548 and 70561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70548 and 70561.

How to find the GCF of 70548 and 70561?

We will first find the prime factorization of 70548 and 70561. After we will calculate the factors of 70548 and 70561 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 70561

Prime factors of 70561 are 41, 1721. Prime factorization of 70561 in exponential form is:

70561 = 41¹ × 1721¹

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 70561

List of positive integer factors of 70561 that divides 70548 without a remainder.

1, 41, 1721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70548 and 70561. The biggest common factor number is the GCF number.
So the greatest common factor 70548 and 70561 is 1.

Also check out the Least Common Multiple of 70548 and 70561