What is the Greatest Common Factor of 71538 and 71556?

Greatest common factor (GCF) of 71538 and 71556 is 6.

GCF(71538,71556) = 6

We will now calculate the prime factors of 71538 and 71556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71538 and 71556.

How to find the GCF of 71538 and 71556?

We will first find the prime factorization of 71538 and 71556. After we will calculate the factors of 71538 and 71556 and find the biggest common factor number .

Step-1: Prime Factorization of 71538

Prime factors of 71538 are 2, 3, 11923. Prime factorization of 71538 in exponential form is:

71538 = 2¹ × 3¹ × 11923¹

Step-2: Prime Factorization of 71556

Prime factors of 71556 are 2, 3, 67, 89. Prime factorization of 71556 in exponential form is:

71556 = 2² × 3¹ × 67¹ × 89¹

Step-3: Factors of 71538

List of positive integer factors of 71538 that divides 71538 without a remainder.

1, 2, 3, 6, 11923, 23846, 35769

Step-4: Factors of 71556

List of positive integer factors of 71556 that divides 71538 without a remainder.

1, 2, 3, 4, 6, 12, 67, 89, 134, 178, 201, 267, 268, 356, 402, 534, 804, 1068, 5963, 11926, 17889, 23852, 35778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71538 and 71556. The biggest common factor number is the GCF number.
So the greatest common factor 71538 and 71556 is 6.

Also check out the Least Common Multiple of 71538 and 71556