What is the Greatest Common Factor of 75540 and 75552?

Greatest common factor (GCF) of 75540 and 75552 is 12.

GCF(75540,75552) = 12

We will now calculate the prime factors of 75540 and 75552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75540 and 75552.

How to find the GCF of 75540 and 75552?

We will first find the prime factorization of 75540 and 75552. After we will calculate the factors of 75540 and 75552 and find the biggest common factor number .

Step-1: Prime Factorization of 75540

Prime factors of 75540 are 2, 3, 5, 1259. Prime factorization of 75540 in exponential form is:

75540 = 2² × 3¹ × 5¹ × 1259¹

Step-2: 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-3: Factors of 75540

List of positive integer factors of 75540 that divides 75540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1259, 2518, 3777, 5036, 6295, 7554, 12590, 15108, 18885, 25180, 37770

Step-4: Factors of 75552

List of positive integer factors of 75552 that divides 75540 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75540 and 75552. The biggest common factor number is the GCF number.
So the greatest common factor 75540 and 75552 is 12.

Also check out the Least Common Multiple of 75540 and 75552