What is the Greatest Common Factor of 49521 and 49527?

Greatest common factor (GCF) of 49521 and 49527 is 3.

GCF(49521,49527) = 3

We will now calculate the prime factors of 49521 and 49527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49521 and 49527.

How to find the GCF of 49521 and 49527?

We will first find the prime factorization of 49521 and 49527. After we will calculate the factors of 49521 and 49527 and find the biggest common factor number .

Step-1: Prime Factorization of 49521

Prime factors of 49521 are 3, 17, 971. Prime factorization of 49521 in exponential form is:

49521 = 3¹ × 17¹ × 971¹

Step-2: Prime Factorization of 49527

Prime factors of 49527 are 3, 5503. Prime factorization of 49527 in exponential form is:

49527 = 3² × 5503¹

Step-3: Factors of 49521

List of positive integer factors of 49521 that divides 49521 without a remainder.

1, 3, 17, 51, 971, 2913, 16507

Step-4: Factors of 49527

List of positive integer factors of 49527 that divides 49521 without a remainder.

1, 3, 9, 5503, 16509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49521 and 49527. The biggest common factor number is the GCF number.
So the greatest common factor 49521 and 49527 is 3.

Also check out the Least Common Multiple of 49521 and 49527