What is the Greatest Common Factor of 71556 and 71567?

Greatest common factor (GCF) of 71556 and 71567 is 1.

GCF(71556,71567) = 1

We will now calculate the prime factors of 71556 and 71567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71556 and 71567.

How to find the GCF of 71556 and 71567?

We will first find the prime factorization of 71556 and 71567. After we will calculate the factors of 71556 and 71567 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 71567

Prime factors of 71567 are 59, 1213. Prime factorization of 71567 in exponential form is:

71567 = 59¹ × 1213¹

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 71567

List of positive integer factors of 71567 that divides 71556 without a remainder.

1, 59, 1213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71556 and 71567. The biggest common factor number is the GCF number.
So the greatest common factor 71556 and 71567 is 1.

Also check out the Least Common Multiple of 71556 and 71567