What is the Greatest Common Factor of 71052 and 71064?

Greatest common factor (GCF) of 71052 and 71064 is 12.

GCF(71052,71064) = 12

We will now calculate the prime factors of 71052 and 71064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71052 and 71064.

How to find the GCF of 71052 and 71064?

We will first find the prime factorization of 71052 and 71064. After we will calculate the factors of 71052 and 71064 and find the biggest common factor number .

Step-1: Prime Factorization of 71052

Prime factors of 71052 are 2, 3, 31, 191. Prime factorization of 71052 in exponential form is:

71052 = 2² × 3¹ × 31¹ × 191¹

Step-2: 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-3: Factors of 71052

List of positive integer factors of 71052 that divides 71052 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 191, 372, 382, 573, 764, 1146, 2292, 5921, 11842, 17763, 23684, 35526

Step-4: Factors of 71064

List of positive integer factors of 71064 that divides 71052 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71052 and 71064. The biggest common factor number is the GCF number.
So the greatest common factor 71052 and 71064 is 12.

Also check out the Least Common Multiple of 71052 and 71064