What is the Greatest Common Factor of 70330 and 70343?

Greatest common factor (GCF) of 70330 and 70343 is 13.

GCF(70330,70343) = 13

We will now calculate the prime factors of 70330 and 70343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70330 and 70343.

How to find the GCF of 70330 and 70343?

We will first find the prime factorization of 70330 and 70343. After we will calculate the factors of 70330 and 70343 and find the biggest common factor number .

Step-1: Prime Factorization of 70330

Prime factors of 70330 are 2, 5, 13, 541. Prime factorization of 70330 in exponential form is:

70330 = 2¹ × 5¹ × 13¹ × 541¹

Step-2: Prime Factorization of 70343

Prime factors of 70343 are 7, 13, 773. Prime factorization of 70343 in exponential form is:

70343 = 7¹ × 13¹ × 773¹

Step-3: Factors of 70330

List of positive integer factors of 70330 that divides 70330 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 541, 1082, 2705, 5410, 7033, 14066, 35165

Step-4: Factors of 70343

List of positive integer factors of 70343 that divides 70330 without a remainder.

1, 7, 13, 91, 773, 5411, 10049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70330 and 70343. The biggest common factor number is the GCF number.
So the greatest common factor 70330 and 70343 is 13.

Also check out the Least Common Multiple of 70330 and 70343