What is the Greatest Common Factor of 75532 and 75540?

Greatest common factor (GCF) of 75532 and 75540 is 4.

GCF(75532,75540) = 4

We will now calculate the prime factors of 75532 and 75540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75532 and 75540.

How to find the GCF of 75532 and 75540?

We will first find the prime factorization of 75532 and 75540. After we will calculate the factors of 75532 and 75540 and find the biggest common factor number .

Step-1: Prime Factorization of 75532

Prime factors of 75532 are 2, 23, 821. Prime factorization of 75532 in exponential form is:

75532 = 2² × 23¹ × 821¹

Step-2: 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-3: Factors of 75532

List of positive integer factors of 75532 that divides 75532 without a remainder.

1, 2, 4, 23, 46, 92, 821, 1642, 3284, 18883, 37766

Step-4: Factors of 75540

List of positive integer factors of 75540 that divides 75532 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75532 and 75540. The biggest common factor number is the GCF number.
So the greatest common factor 75532 and 75540 is 4.

Also check out the Least Common Multiple of 75532 and 75540