What is the Greatest Common Factor of 62502 and 62506?

Greatest common factor (GCF) of 62502 and 62506 is 2.

GCF(62502,62506) = 2

We will now calculate the prime factors of 62502 and 62506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62502 and 62506.

How to find the GCF of 62502 and 62506?

We will first find the prime factorization of 62502 and 62506. After we will calculate the factors of 62502 and 62506 and find the biggest common factor number .

Step-1: Prime Factorization of 62502

Prime factors of 62502 are 2, 3, 11, 947. Prime factorization of 62502 in exponential form is:

62502 = 2¹ × 3¹ × 11¹ × 947¹

Step-2: Prime Factorization of 62506

Prime factors of 62506 are 2, 31253. Prime factorization of 62506 in exponential form is:

62506 = 2¹ × 31253¹

Step-3: Factors of 62502

List of positive integer factors of 62502 that divides 62502 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 947, 1894, 2841, 5682, 10417, 20834, 31251

Step-4: Factors of 62506

List of positive integer factors of 62506 that divides 62502 without a remainder.

1, 2, 31253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62502 and 62506. The biggest common factor number is the GCF number.
So the greatest common factor 62502 and 62506 is 2.

Also check out the Least Common Multiple of 62502 and 62506