What is the Greatest Common Factor of 75528 and 75534?

Greatest common factor (GCF) of 75528 and 75534 is 6.

GCF(75528,75534) = 6

We will now calculate the prime factors of 75528 and 75534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75528 and 75534.

How to find the GCF of 75528 and 75534?

We will first find the prime factorization of 75528 and 75534. After we will calculate the factors of 75528 and 75534 and find the biggest common factor number .

Step-1: Prime Factorization of 75528

Prime factors of 75528 are 2, 3, 1049. Prime factorization of 75528 in exponential form is:

75528 = 2³ × 3² × 1049¹

Step-2: Prime Factorization of 75534

Prime factors of 75534 are 2, 3, 12589. Prime factorization of 75534 in exponential form is:

75534 = 2¹ × 3¹ × 12589¹

Step-3: Factors of 75528

List of positive integer factors of 75528 that divides 75528 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1049, 2098, 3147, 4196, 6294, 8392, 9441, 12588, 18882, 25176, 37764

Step-4: Factors of 75534

List of positive integer factors of 75534 that divides 75528 without a remainder.

1, 2, 3, 6, 12589, 25178, 37767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75528 and 75534. The biggest common factor number is the GCF number.
So the greatest common factor 75528 and 75534 is 6.

Also check out the Least Common Multiple of 75528 and 75534