What is the Greatest Common Factor of 62512 and 62530?

Greatest common factor (GCF) of 62512 and 62530 is 2.

GCF(62512,62530) = 2

We will now calculate the prime factors of 62512 and 62530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62512 and 62530.

How to find the GCF of 62512 and 62530?

We will first find the prime factorization of 62512 and 62530. After we will calculate the factors of 62512 and 62530 and find the biggest common factor number .

Step-1: Prime Factorization of 62512

Prime factors of 62512 are 2, 3907. Prime factorization of 62512 in exponential form is:

62512 = 2⁴ × 3907¹

Step-2: 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-3: Factors of 62512

List of positive integer factors of 62512 that divides 62512 without a remainder.

1, 2, 4, 8, 16, 3907, 7814, 15628, 31256

Step-4: Factors of 62530

List of positive integer factors of 62530 that divides 62512 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62512 and 62530. The biggest common factor number is the GCF number.
So the greatest common factor 62512 and 62530 is 2.

Also check out the Least Common Multiple of 62512 and 62530