What is the Greatest Common Factor of 62900 and 62914?

Greatest common factor (GCF) of 62900 and 62914 is 2.

GCF(62900,62914) = 2

We will now calculate the prime factors of 62900 and 62914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62900 and 62914.

How to find the GCF of 62900 and 62914?

We will first find the prime factorization of 62900 and 62914. After we will calculate the factors of 62900 and 62914 and find the biggest common factor number .

Step-1: Prime Factorization of 62900

Prime factors of 62900 are 2, 5, 17, 37. Prime factorization of 62900 in exponential form is:

62900 = 2² × 5² × 17¹ × 37¹

Step-2: Prime Factorization of 62914

Prime factors of 62914 are 2, 83, 379. Prime factorization of 62914 in exponential form is:

62914 = 2¹ × 83¹ × 379¹

Step-3: Factors of 62900

List of positive integer factors of 62900 that divides 62900 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 37, 50, 68, 74, 85, 100, 148, 170, 185, 340, 370, 425, 629, 740, 850, 925, 1258, 1700, 1850, 2516, 3145, 3700, 6290, 12580, 15725, 31450

Step-4: Factors of 62914

List of positive integer factors of 62914 that divides 62900 without a remainder.

1, 2, 83, 166, 379, 758, 31457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62900 and 62914. The biggest common factor number is the GCF number.
So the greatest common factor 62900 and 62914 is 2.

Also check out the Least Common Multiple of 62900 and 62914