What is the Greatest Common Factor of 70312 and 70323?

Greatest common factor (GCF) of 70312 and 70323 is 11.

GCF(70312,70323) = 11

We will now calculate the prime factors of 70312 and 70323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70312 and 70323.

How to find the GCF of 70312 and 70323?

We will first find the prime factorization of 70312 and 70323. After we will calculate the factors of 70312 and 70323 and find the biggest common factor number .

Step-1: Prime Factorization of 70312

Prime factors of 70312 are 2, 11, 17, 47. Prime factorization of 70312 in exponential form is:

70312 = 2³ × 11¹ × 17¹ × 47¹

Step-2: Prime Factorization of 70323

Prime factors of 70323 are 3, 11, 2131. Prime factorization of 70323 in exponential form is:

70323 = 3¹ × 11¹ × 2131¹

Step-3: Factors of 70312

List of positive integer factors of 70312 that divides 70312 without a remainder.

1, 2, 4, 8, 11, 17, 22, 34, 44, 47, 68, 88, 94, 136, 187, 188, 374, 376, 517, 748, 799, 1034, 1496, 1598, 2068, 3196, 4136, 6392, 8789, 17578, 35156

Step-4: Factors of 70323

List of positive integer factors of 70323 that divides 70312 without a remainder.

1, 3, 11, 33, 2131, 6393, 23441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70312 and 70323. The biggest common factor number is the GCF number.
So the greatest common factor 70312 and 70323 is 11.

Also check out the Least Common Multiple of 70312 and 70323