What is the Greatest Common Factor of 62530 and 62542?

Greatest common factor (GCF) of 62530 and 62542 is 2.

GCF(62530,62542) = 2

We will now calculate the prime factors of 62530 and 62542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62530 and 62542.

How to find the GCF of 62530 and 62542?

We will first find the prime factorization of 62530 and 62542. After we will calculate the factors of 62530 and 62542 and find the biggest common factor number .

Step-1: Prime Factorization of 62530

Prime factors of 62530 are 2, 5, 13, 37. Prime factorization of 62530 in exponential form is:

62530 = 2¹ × 5¹ × 13² × 37¹

Step-2: Prime Factorization of 62542

Prime factors of 62542 are 2, 31271. Prime factorization of 62542 in exponential form is:

62542 = 2¹ × 31271¹

Step-3: Factors of 62530

List of positive integer factors of 62530 that divides 62530 without a remainder.

1, 2, 5, 10, 13, 26, 37, 65, 74, 130, 169, 185, 338, 370, 481, 845, 962, 1690, 2405, 4810, 6253, 12506, 31265

Step-4: Factors of 62542

List of positive integer factors of 62542 that divides 62530 without a remainder.

1, 2, 31271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62530 and 62542. The biggest common factor number is the GCF number.
So the greatest common factor 62530 and 62542 is 2.

Also check out the Least Common Multiple of 62530 and 62542