What is the Greatest Common Factor of 62498 and 62514?

Greatest common factor (GCF) of 62498 and 62514 is 2.

GCF(62498,62514) = 2

We will now calculate the prime factors of 62498 and 62514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62498 and 62514.

How to find the GCF of 62498 and 62514?

We will first find the prime factorization of 62498 and 62514. After we will calculate the factors of 62498 and 62514 and find the biggest common factor number .

Step-1: Prime Factorization of 62498

Prime factors of 62498 are 2, 31249. Prime factorization of 62498 in exponential form is:

62498 = 2¹ × 31249¹

Step-2: Prime Factorization of 62514

Prime factors of 62514 are 2, 3, 23, 151. Prime factorization of 62514 in exponential form is:

62514 = 2¹ × 3² × 23¹ × 151¹

Step-3: Factors of 62498

List of positive integer factors of 62498 that divides 62498 without a remainder.

1, 2, 31249

Step-4: Factors of 62514

List of positive integer factors of 62514 that divides 62498 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 151, 207, 302, 414, 453, 906, 1359, 2718, 3473, 6946, 10419, 20838, 31257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62498 and 62514. The biggest common factor number is the GCF number.
So the greatest common factor 62498 and 62514 is 2.

Also check out the Least Common Multiple of 62498 and 62514