What is the Greatest Common Factor of 70356 and 70368?

Greatest common factor (GCF) of 70356 and 70368 is 12.

GCF(70356,70368) = 12

We will now calculate the prime factors of 70356 and 70368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70356 and 70368.

How to find the GCF of 70356 and 70368?

We will first find the prime factorization of 70356 and 70368. After we will calculate the factors of 70356 and 70368 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 70368

Prime factors of 70368 are 2, 3, 733. Prime factorization of 70368 in exponential form is:

70368 = 2⁵ × 3¹ × 733¹

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 70368

List of positive integer factors of 70368 that divides 70356 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 733, 1466, 2199, 2932, 4398, 5864, 8796, 11728, 17592, 23456, 35184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70356 and 70368. The biggest common factor number is the GCF number.
So the greatest common factor 70356 and 70368 is 12.

Also check out the Least Common Multiple of 70356 and 70368