What is the Greatest Common Factor of 53562 and 53577?

Greatest common factor (GCF) of 53562 and 53577 is 3.

GCF(53562,53577) = 3

We will now calculate the prime factors of 53562 and 53577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53562 and 53577.

How to find the GCF of 53562 and 53577?

We will first find the prime factorization of 53562 and 53577. After we will calculate the factors of 53562 and 53577 and find the biggest common factor number .

Step-1: Prime Factorization of 53562

Prime factors of 53562 are 2, 3, 79, 113. Prime factorization of 53562 in exponential form is:

53562 = 2¹ × 3¹ × 79¹ × 113¹

Step-2: Prime Factorization of 53577

Prime factors of 53577 are 3, 5953. Prime factorization of 53577 in exponential form is:

53577 = 3² × 5953¹

Step-3: Factors of 53562

List of positive integer factors of 53562 that divides 53562 without a remainder.

1, 2, 3, 6, 79, 113, 158, 226, 237, 339, 474, 678, 8927, 17854, 26781

Step-4: Factors of 53577

List of positive integer factors of 53577 that divides 53562 without a remainder.

1, 3, 9, 5953, 17859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53562 and 53577. The biggest common factor number is the GCF number.
So the greatest common factor 53562 and 53577 is 3.

Also check out the Least Common Multiple of 53562 and 53577