What is the Greatest Common Factor of 70343 and 70356?

Greatest common factor (GCF) of 70343 and 70356 is 13.

GCF(70343,70356) = 13

We will now calculate the prime factors of 70343 and 70356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70343 and 70356.

How to find the GCF of 70343 and 70356?

We will first find the prime factorization of 70343 and 70356. After we will calculate the factors of 70343 and 70356 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70356

Prime factors of 70356 are 2, 3, 11, 13, 41. Prime factorization of 70356 in exponential form is:

70356 = 2² × 3¹ × 11¹ × 13¹ × 41¹

Step-3: Factors of 70343

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

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

Step-4: Factors of 70356

List of positive integer factors of 70356 that divides 70343 without a remainder.

1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 39, 41, 44, 52, 66, 78, 82, 123, 132, 143, 156, 164, 246, 286, 429, 451, 492, 533, 572, 858, 902, 1066, 1353, 1599, 1716, 1804, 2132, 2706, 3198, 5412, 5863, 6396, 11726, 17589, 23452, 35178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70343 and 70356. The biggest common factor number is the GCF number.
So the greatest common factor 70343 and 70356 is 13.

Also check out the Least Common Multiple of 70343 and 70356