What is the Greatest Common Factor of 70545 and 70555?

Greatest common factor (GCF) of 70545 and 70555 is 5.

GCF(70545,70555) = 5

We will now calculate the prime factors of 70545 and 70555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70545 and 70555.

How to find the GCF of 70545 and 70555?

We will first find the prime factorization of 70545 and 70555. After we will calculate the factors of 70545 and 70555 and find the biggest common factor number .

Step-1: Prime Factorization of 70545

Prime factors of 70545 are 3, 5, 4703. Prime factorization of 70545 in exponential form is:

70545 = 3¹ × 5¹ × 4703¹

Step-2: Prime Factorization of 70555

Prime factors of 70555 are 5, 103, 137. Prime factorization of 70555 in exponential form is:

70555 = 5¹ × 103¹ × 137¹

Step-3: Factors of 70545

List of positive integer factors of 70545 that divides 70545 without a remainder.

1, 3, 5, 15, 4703, 14109, 23515

Step-4: Factors of 70555

List of positive integer factors of 70555 that divides 70545 without a remainder.

1, 5, 103, 137, 515, 685, 14111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70545 and 70555. The biggest common factor number is the GCF number.
So the greatest common factor 70545 and 70555 is 5.

Also check out the Least Common Multiple of 70545 and 70555