What is the Greatest Common Factor of 71544 and 71558?

Greatest common factor (GCF) of 71544 and 71558 is 2.

GCF(71544,71558) = 2

We will now calculate the prime factors of 71544 and 71558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71544 and 71558.

How to find the GCF of 71544 and 71558?

We will first find the prime factorization of 71544 and 71558. After we will calculate the factors of 71544 and 71558 and find the biggest common factor number .

Step-1: Prime Factorization of 71544

Prime factors of 71544 are 2, 3, 11, 271. Prime factorization of 71544 in exponential form is:

71544 = 2³ × 3¹ × 11¹ × 271¹

Step-2: Prime Factorization of 71558

Prime factors of 71558 are 2, 37, 967. Prime factorization of 71558 in exponential form is:

71558 = 2¹ × 37¹ × 967¹

Step-3: Factors of 71544

List of positive integer factors of 71544 that divides 71544 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 271, 542, 813, 1084, 1626, 2168, 2981, 3252, 5962, 6504, 8943, 11924, 17886, 23848, 35772

Step-4: Factors of 71558

List of positive integer factors of 71558 that divides 71544 without a remainder.

1, 2, 37, 74, 967, 1934, 35779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71544 and 71558. The biggest common factor number is the GCF number.
So the greatest common factor 71544 and 71558 is 2.

Also check out the Least Common Multiple of 71544 and 71558