What is the Greatest Common Factor of 53457 and 53463?

Greatest common factor (GCF) of 53457 and 53463 is 3.

GCF(53457,53463) = 3

We will now calculate the prime factors of 53457 and 53463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53457 and 53463.

How to find the GCF of 53457 and 53463?

We will first find the prime factorization of 53457 and 53463. After we will calculate the factors of 53457 and 53463 and find the biggest common factor number .

Step-1: Prime Factorization of 53457

Prime factors of 53457 are 3, 103, 173. Prime factorization of 53457 in exponential form is:

53457 = 3¹ × 103¹ × 173¹

Step-2: Prime Factorization of 53463

Prime factors of 53463 are 3, 71, 251. Prime factorization of 53463 in exponential form is:

53463 = 3¹ × 71¹ × 251¹

Step-3: Factors of 53457

List of positive integer factors of 53457 that divides 53457 without a remainder.

1, 3, 103, 173, 309, 519, 17819

Step-4: Factors of 53463

List of positive integer factors of 53463 that divides 53457 without a remainder.

1, 3, 71, 213, 251, 753, 17821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53457 and 53463. The biggest common factor number is the GCF number.
So the greatest common factor 53457 and 53463 is 3.

Also check out the Least Common Multiple of 53457 and 53463