What is the Greatest Common Factor of 70172 and 70176?

Greatest common factor (GCF) of 70172 and 70176 is 4.

GCF(70172,70176) = 4

We will now calculate the prime factors of 70172 and 70176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70172 and 70176.

How to find the GCF of 70172 and 70176?

We will first find the prime factorization of 70172 and 70176. After we will calculate the factors of 70172 and 70176 and find the biggest common factor number .

Step-1: Prime Factorization of 70172

Prime factors of 70172 are 2, 53, 331. Prime factorization of 70172 in exponential form is:

70172 = 2² × 53¹ × 331¹

Step-2: Prime Factorization of 70176

Prime factors of 70176 are 2, 3, 17, 43. Prime factorization of 70176 in exponential form is:

70176 = 2⁵ × 3¹ × 17¹ × 43¹

Step-3: Factors of 70172

List of positive integer factors of 70172 that divides 70172 without a remainder.

1, 2, 4, 53, 106, 212, 331, 662, 1324, 17543, 35086

Step-4: Factors of 70176

List of positive integer factors of 70176 that divides 70172 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 43, 48, 51, 68, 86, 96, 102, 129, 136, 172, 204, 258, 272, 344, 408, 516, 544, 688, 731, 816, 1032, 1376, 1462, 1632, 2064, 2193, 2924, 4128, 4386, 5848, 8772, 11696, 17544, 23392, 35088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70172 and 70176. The biggest common factor number is the GCF number.
So the greatest common factor 70172 and 70176 is 4.

Also check out the Least Common Multiple of 70172 and 70176