What is the Greatest Common Factor of 71064 and 71072?

Greatest common factor (GCF) of 71064 and 71072 is 8.

GCF(71064,71072) = 8

We will now calculate the prime factors of 71064 and 71072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71064 and 71072.

How to find the GCF of 71064 and 71072?

We will first find the prime factorization of 71064 and 71072. After we will calculate the factors of 71064 and 71072 and find the biggest common factor number .

Step-1: Prime Factorization of 71064

Prime factors of 71064 are 2, 3, 7, 47. Prime factorization of 71064 in exponential form is:

71064 = 2³ × 3³ × 7¹ × 47¹

Step-2: Prime Factorization of 71072

Prime factors of 71072 are 2, 2221. Prime factorization of 71072 in exponential form is:

71072 = 2⁵ × 2221¹

Step-3: Factors of 71064

List of positive integer factors of 71064 that divides 71064 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 47, 54, 56, 63, 72, 84, 94, 108, 126, 141, 168, 188, 189, 216, 252, 282, 329, 376, 378, 423, 504, 564, 658, 756, 846, 987, 1128, 1269, 1316, 1512, 1692, 1974, 2538, 2632, 2961, 3384, 3948, 5076, 5922, 7896, 8883, 10152, 11844, 17766, 23688, 35532

Step-4: Factors of 71072

List of positive integer factors of 71072 that divides 71064 without a remainder.

1, 2, 4, 8, 16, 32, 2221, 4442, 8884, 17768, 35536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71064 and 71072. The biggest common factor number is the GCF number.
So the greatest common factor 71064 and 71072 is 8.

Also check out the Least Common Multiple of 71064 and 71072