What is the Greatest Common Factor of 30525 and 30536?

Greatest common factor (GCF) of 30525 and 30536 is 11.

GCF(30525,30536) = 11

We will now calculate the prime factors of 30525 and 30536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30525 and 30536.

How to find the GCF of 30525 and 30536?

We will first find the prime factorization of 30525 and 30536. After we will calculate the factors of 30525 and 30536 and find the biggest common factor number .

Step-1: Prime Factorization of 30525

Prime factors of 30525 are 3, 5, 11, 37. Prime factorization of 30525 in exponential form is:

30525 = 3¹ × 5² × 11¹ × 37¹

Step-2: Prime Factorization of 30536

Prime factors of 30536 are 2, 11, 347. Prime factorization of 30536 in exponential form is:

30536 = 2³ × 11¹ × 347¹

Step-3: Factors of 30525

List of positive integer factors of 30525 that divides 30525 without a remainder.

1, 3, 5, 11, 15, 25, 33, 37, 55, 75, 111, 165, 185, 275, 407, 555, 825, 925, 1221, 2035, 2775, 6105, 10175

Step-4: Factors of 30536

List of positive integer factors of 30536 that divides 30525 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 347, 694, 1388, 2776, 3817, 7634, 15268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30525 and 30536. The biggest common factor number is the GCF number.
So the greatest common factor 30525 and 30536 is 11.

Also check out the Least Common Multiple of 30525 and 30536