What is the Greatest Common Factor of 49506 and 49521?

Greatest common factor (GCF) of 49506 and 49521 is 3.

GCF(49506,49521) = 3

We will now calculate the prime factors of 49506 and 49521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49506 and 49521.

How to find the GCF of 49506 and 49521?

We will first find the prime factorization of 49506 and 49521. After we will calculate the factors of 49506 and 49521 and find the biggest common factor number .

Step-1: Prime Factorization of 49506

Prime factors of 49506 are 2, 3, 37, 223. Prime factorization of 49506 in exponential form is:

49506 = 2¹ × 3¹ × 37¹ × 223¹

Step-2: 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-3: Factors of 49506

List of positive integer factors of 49506 that divides 49506 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 223, 446, 669, 1338, 8251, 16502, 24753

Step-4: Factors of 49521

List of positive integer factors of 49521 that divides 49506 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49506 and 49521. The biggest common factor number is the GCF number.
So the greatest common factor 49506 and 49521 is 3.

Also check out the Least Common Multiple of 49506 and 49521