What is the Greatest Common Factor of 53030 and 53042?

Greatest common factor (GCF) of 53030 and 53042 is 2.

GCF(53030,53042) = 2

We will now calculate the prime factors of 53030 and 53042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53030 and 53042.

How to find the GCF of 53030 and 53042?

We will first find the prime factorization of 53030 and 53042. After we will calculate the factors of 53030 and 53042 and find the biggest common factor number .

Step-1: Prime Factorization of 53030

Prime factors of 53030 are 2, 5, 5303. Prime factorization of 53030 in exponential form is:

53030 = 2¹ × 5¹ × 5303¹

Step-2: Prime Factorization of 53042

Prime factors of 53042 are 2, 11, 2411. Prime factorization of 53042 in exponential form is:

53042 = 2¹ × 11¹ × 2411¹

Step-3: Factors of 53030

List of positive integer factors of 53030 that divides 53030 without a remainder.

1, 2, 5, 10, 5303, 10606, 26515

Step-4: Factors of 53042

List of positive integer factors of 53042 that divides 53030 without a remainder.

1, 2, 11, 22, 2411, 4822, 26521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53030 and 53042. The biggest common factor number is the GCF number.
So the greatest common factor 53030 and 53042 is 2.

Also check out the Least Common Multiple of 53030 and 53042