What is the Greatest Common Factor of 62900 and 62917?

Greatest common factor (GCF) of 62900 and 62917 is 17.

GCF(62900,62917) = 17

We will now calculate the prime factors of 62900 and 62917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62900 and 62917.

How to find the GCF of 62900 and 62917?

We will first find the prime factorization of 62900 and 62917. After we will calculate the factors of 62900 and 62917 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 62917

Prime factors of 62917 are 17, 3701. Prime factorization of 62917 in exponential form is:

62917 = 17¹ × 3701¹

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 62917

List of positive integer factors of 62917 that divides 62900 without a remainder.

1, 17, 3701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62900 and 62917. The biggest common factor number is the GCF number.
So the greatest common factor 62900 and 62917 is 17.

Also check out the Least Common Multiple of 62900 and 62917