What is the Greatest Common Factor of 53442 and 53457?

Greatest common factor (GCF) of 53442 and 53457 is 3.

GCF(53442,53457) = 3

We will now calculate the prime factors of 53442 and 53457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53442 and 53457.

How to find the GCF of 53442 and 53457?

We will first find the prime factorization of 53442 and 53457. After we will calculate the factors of 53442 and 53457 and find the biggest common factor number .

Step-1: Prime Factorization of 53442

Prime factors of 53442 are 2, 3, 2969. Prime factorization of 53442 in exponential form is:

53442 = 2¹ × 3² × 2969¹

Step-2: 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-3: Factors of 53442

List of positive integer factors of 53442 that divides 53442 without a remainder.

1, 2, 3, 6, 9, 18, 2969, 5938, 8907, 17814, 26721

Step-4: Factors of 53457

List of positive integer factors of 53457 that divides 53442 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53442 and 53457. The biggest common factor number is the GCF number.
So the greatest common factor 53442 and 53457 is 3.

Also check out the Least Common Multiple of 53442 and 53457