What is the Greatest Common Factor of 71556 and 71560?

Greatest common factor (GCF) of 71556 and 71560 is 4.

GCF(71556,71560) = 4

We will now calculate the prime factors of 71556 and 71560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71556 and 71560.

How to find the GCF of 71556 and 71560?

We will first find the prime factorization of 71556 and 71560. After we will calculate the factors of 71556 and 71560 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71560

Prime factors of 71560 are 2, 5, 1789. Prime factorization of 71560 in exponential form is:

71560 = 2³ × 5¹ × 1789¹

Step-3: Factors of 71556

List of positive integer factors of 71556 that divides 71556 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

Step-4: Factors of 71560

List of positive integer factors of 71560 that divides 71556 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1789, 3578, 7156, 8945, 14312, 17890, 35780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71556 and 71560. The biggest common factor number is the GCF number.
So the greatest common factor 71556 and 71560 is 4.

Also check out the Least Common Multiple of 71556 and 71560