What is the Greatest Common Factor of 53484 and 53498?

Greatest common factor (GCF) of 53484 and 53498 is 2.

GCF(53484,53498) = 2

We will now calculate the prime factors of 53484 and 53498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53484 and 53498.

How to find the GCF of 53484 and 53498?

We will first find the prime factorization of 53484 and 53498. After we will calculate the factors of 53484 and 53498 and find the biggest common factor number .

Step-1: Prime Factorization of 53484

Prime factors of 53484 are 2, 3, 4457. Prime factorization of 53484 in exponential form is:

53484 = 2² × 3¹ × 4457¹

Step-2: Prime Factorization of 53498

Prime factors of 53498 are 2, 23, 1163. Prime factorization of 53498 in exponential form is:

53498 = 2¹ × 23¹ × 1163¹

Step-3: Factors of 53484

List of positive integer factors of 53484 that divides 53484 without a remainder.

1, 2, 3, 4, 6, 12, 4457, 8914, 13371, 17828, 26742

Step-4: Factors of 53498

List of positive integer factors of 53498 that divides 53484 without a remainder.

1, 2, 23, 46, 1163, 2326, 26749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53484 and 53498. The biggest common factor number is the GCF number.
So the greatest common factor 53484 and 53498 is 2.

Also check out the Least Common Multiple of 53484 and 53498