What is the Greatest Common Factor of 70356 and 70369?

Greatest common factor (GCF) of 70356 and 70369 is 13.

GCF(70356,70369) = 13

We will now calculate the prime factors of 70356 and 70369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70356 and 70369.

How to find the GCF of 70356 and 70369?

We will first find the prime factorization of 70356 and 70369. After we will calculate the factors of 70356 and 70369 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70369

Prime factors of 70369 are 13, 5413. Prime factorization of 70369 in exponential form is:

70369 = 13¹ × 5413¹

Step-3: Factors of 70356

List of positive integer factors of 70356 that divides 70356 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

Step-4: Factors of 70369

List of positive integer factors of 70369 that divides 70356 without a remainder.

1, 13, 5413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70356 and 70369. The biggest common factor number is the GCF number.
So the greatest common factor 70356 and 70369 is 13.

Also check out the Least Common Multiple of 70356 and 70369