What is the Greatest Common Factor of 53530 and 53542?

Greatest common factor (GCF) of 53530 and 53542 is 2.

GCF(53530,53542) = 2

We will now calculate the prime factors of 53530 and 53542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53530 and 53542.

How to find the GCF of 53530 and 53542?

We will first find the prime factorization of 53530 and 53542. After we will calculate the factors of 53530 and 53542 and find the biggest common factor number .

Step-1: Prime Factorization of 53530

Prime factors of 53530 are 2, 5, 53, 101. Prime factorization of 53530 in exponential form is:

53530 = 2¹ × 5¹ × 53¹ × 101¹

Step-2: Prime Factorization of 53542

Prime factors of 53542 are 2, 19, 1409. Prime factorization of 53542 in exponential form is:

53542 = 2¹ × 19¹ × 1409¹

Step-3: Factors of 53530

List of positive integer factors of 53530 that divides 53530 without a remainder.

1, 2, 5, 10, 53, 101, 106, 202, 265, 505, 530, 1010, 5353, 10706, 26765

Step-4: Factors of 53542

List of positive integer factors of 53542 that divides 53530 without a remainder.

1, 2, 19, 38, 1409, 2818, 26771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53530 and 53542. The biggest common factor number is the GCF number.
So the greatest common factor 53530 and 53542 is 2.

Also check out the Least Common Multiple of 53530 and 53542