What is the Greatest Common Factor of 75561 and 75576?

Greatest common factor (GCF) of 75561 and 75576 is 3.

GCF(75561,75576) = 3

We will now calculate the prime factors of 75561 and 75576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75561 and 75576.

How to find the GCF of 75561 and 75576?

We will first find the prime factorization of 75561 and 75576. After we will calculate the factors of 75561 and 75576 and find the biggest common factor number .

Step-1: Prime Factorization of 75561

Prime factors of 75561 are 3, 89, 283. Prime factorization of 75561 in exponential form is:

75561 = 3¹ × 89¹ × 283¹

Step-2: Prime Factorization of 75576

Prime factors of 75576 are 2, 3, 47, 67. Prime factorization of 75576 in exponential form is:

75576 = 2³ × 3¹ × 47¹ × 67¹

Step-3: Factors of 75561

List of positive integer factors of 75561 that divides 75561 without a remainder.

1, 3, 89, 267, 283, 849, 25187

Step-4: Factors of 75576

List of positive integer factors of 75576 that divides 75561 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 47, 67, 94, 134, 141, 188, 201, 268, 282, 376, 402, 536, 564, 804, 1128, 1608, 3149, 6298, 9447, 12596, 18894, 25192, 37788

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75561 and 75576. The biggest common factor number is the GCF number.
So the greatest common factor 75561 and 75576 is 3.

Also check out the Least Common Multiple of 75561 and 75576