What is the Greatest Common Factor of 70473 and 70485?

Greatest common factor (GCF) of 70473 and 70485 is 3.

GCF(70473,70485) = 3

We will now calculate the prime factors of 70473 and 70485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70473 and 70485.

How to find the GCF of 70473 and 70485?

We will first find the prime factorization of 70473 and 70485. After we will calculate the factors of 70473 and 70485 and find the biggest common factor number .

Step-1: Prime Factorization of 70473

Prime factors of 70473 are 3, 13, 139. Prime factorization of 70473 in exponential form is:

70473 = 3¹ × 13² × 139¹

Step-2: Prime Factorization of 70485

Prime factors of 70485 are 3, 5, 37, 127. Prime factorization of 70485 in exponential form is:

70485 = 3¹ × 5¹ × 37¹ × 127¹

Step-3: Factors of 70473

List of positive integer factors of 70473 that divides 70473 without a remainder.

1, 3, 13, 39, 139, 169, 417, 507, 1807, 5421, 23491

Step-4: Factors of 70485

List of positive integer factors of 70485 that divides 70473 without a remainder.

1, 3, 5, 15, 37, 111, 127, 185, 381, 555, 635, 1905, 4699, 14097, 23495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70473 and 70485. The biggest common factor number is the GCF number.
So the greatest common factor 70473 and 70485 is 3.

Also check out the Least Common Multiple of 70473 and 70485