What is the Greatest Common Factor of 75552 and 75571?

Greatest common factor (GCF) of 75552 and 75571 is 1.

GCF(75552,75571) = 1

We will now calculate the prime factors of 75552 and 75571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75552 and 75571.

How to find the GCF of 75552 and 75571?

We will first find the prime factorization of 75552 and 75571. After we will calculate the factors of 75552 and 75571 and find the biggest common factor number .

Step-1: Prime Factorization of 75552

Prime factors of 75552 are 2, 3, 787. Prime factorization of 75552 in exponential form is:

75552 = 2⁵ × 3¹ × 787¹

Step-2: Prime Factorization of 75571

Prime factors of 75571 are 75571. Prime factorization of 75571 in exponential form is:

75571 = 75571¹

Step-3: Factors of 75552

List of positive integer factors of 75552 that divides 75552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 787, 1574, 2361, 3148, 4722, 6296, 9444, 12592, 18888, 25184, 37776

Step-4: Factors of 75571

List of positive integer factors of 75571 that divides 75552 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75552 and 75571. The biggest common factor number is the GCF number.
So the greatest common factor 75552 and 75571 is 1.

Also check out the Least Common Multiple of 75552 and 75571