What is the Greatest Common Factor of 17064 and 17072?

Greatest common factor (GCF) of 17064 and 17072 is 8.

GCF(17064,17072) = 8

We will now calculate the prime factors of 17064 and 17072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17064 and 17072.

How to find the GCF of 17064 and 17072?

We will first find the prime factorization of 17064 and 17072. After we will calculate the factors of 17064 and 17072 and find the biggest common factor number .

Step-1: Prime Factorization of 17064

Prime factors of 17064 are 2, 3, 79. Prime factorization of 17064 in exponential form is:

17064 = 2³ × 3³ × 79¹

Step-2: Prime Factorization of 17072

Prime factors of 17072 are 2, 11, 97. Prime factorization of 17072 in exponential form is:

17072 = 2⁴ × 11¹ × 97¹

Step-3: Factors of 17064

List of positive integer factors of 17064 that divides 17064 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 79, 108, 158, 216, 237, 316, 474, 632, 711, 948, 1422, 1896, 2133, 2844, 4266, 5688, 8532

Step-4: Factors of 17072

List of positive integer factors of 17072 that divides 17064 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 97, 176, 194, 388, 776, 1067, 1552, 2134, 4268, 8536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17064 and 17072. The biggest common factor number is the GCF number.
So the greatest common factor 17064 and 17072 is 8.

Also check out the Least Common Multiple of 17064 and 17072