What is the Greatest Common Factor of 48525 and 48544?

Greatest common factor (GCF) of 48525 and 48544 is 1.

GCF(48525,48544) = 1

We will now calculate the prime factors of 48525 and 48544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48525 and 48544.

How to find the GCF of 48525 and 48544?

We will first find the prime factorization of 48525 and 48544. After we will calculate the factors of 48525 and 48544 and find the biggest common factor number .

Step-1: Prime Factorization of 48525

Prime factors of 48525 are 3, 5, 647. Prime factorization of 48525 in exponential form is:

48525 = 3¹ × 5² × 647¹

Step-2: Prime Factorization of 48544

Prime factors of 48544 are 2, 37, 41. Prime factorization of 48544 in exponential form is:

48544 = 2⁵ × 37¹ × 41¹

Step-3: Factors of 48525

List of positive integer factors of 48525 that divides 48525 without a remainder.

1, 3, 5, 15, 25, 75, 647, 1941, 3235, 9705, 16175

Step-4: Factors of 48544

List of positive integer factors of 48544 that divides 48525 without a remainder.

1, 2, 4, 8, 16, 32, 37, 41, 74, 82, 148, 164, 296, 328, 592, 656, 1184, 1312, 1517, 3034, 6068, 12136, 24272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48525 and 48544. The biggest common factor number is the GCF number.
So the greatest common factor 48525 and 48544 is 1.

Also check out the Least Common Multiple of 48525 and 48544