What is the Greatest Common Factor of 71568 and 71582?

Greatest common factor (GCF) of 71568 and 71582 is 14.

GCF(71568,71582) = 14

We will now calculate the prime factors of 71568 and 71582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71568 and 71582.

How to find the GCF of 71568 and 71582?

We will first find the prime factorization of 71568 and 71582. After we will calculate the factors of 71568 and 71582 and find the biggest common factor number .

Step-1: Prime Factorization of 71568

Prime factors of 71568 are 2, 3, 7, 71. Prime factorization of 71568 in exponential form is:

71568 = 2⁴ × 3² × 7¹ × 71¹

Step-2: Prime Factorization of 71582

Prime factors of 71582 are 2, 7, 5113. Prime factorization of 71582 in exponential form is:

71582 = 2¹ × 7¹ × 5113¹

Step-3: Factors of 71568

List of positive integer factors of 71568 that divides 71568 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 71, 72, 84, 112, 126, 142, 144, 168, 213, 252, 284, 336, 426, 497, 504, 568, 639, 852, 994, 1008, 1136, 1278, 1491, 1704, 1988, 2556, 2982, 3408, 3976, 4473, 5112, 5964, 7952, 8946, 10224, 11928, 17892, 23856, 35784

Step-4: Factors of 71582

List of positive integer factors of 71582 that divides 71568 without a remainder.

1, 2, 7, 14, 5113, 10226, 35791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71568 and 71582. The biggest common factor number is the GCF number.
So the greatest common factor 71568 and 71582 is 14.

Also check out the Least Common Multiple of 71568 and 71582