What is the Greatest Common Factor of 71064 and 71070?

Greatest common factor (GCF) of 71064 and 71070 is 6.

GCF(71064,71070) = 6

We will now calculate the prime factors of 71064 and 71070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71064 and 71070.

How to find the GCF of 71064 and 71070?

We will first find the prime factorization of 71064 and 71070. After we will calculate the factors of 71064 and 71070 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 71070

Prime factors of 71070 are 2, 3, 5, 23, 103. Prime factorization of 71070 in exponential form is:

71070 = 2¹ × 3¹ × 5¹ × 23¹ × 103¹

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 71070

List of positive integer factors of 71070 that divides 71064 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 103, 115, 138, 206, 230, 309, 345, 515, 618, 690, 1030, 1545, 2369, 3090, 4738, 7107, 11845, 14214, 23690, 35535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71064 and 71070. The biggest common factor number is the GCF number.
So the greatest common factor 71064 and 71070 is 6.

Also check out the Least Common Multiple of 71064 and 71070