What is the Greatest Common Factor of 62900 and 62910?

Greatest common factor (GCF) of 62900 and 62910 is 10.

GCF(62900,62910) = 10

We will now calculate the prime factors of 62900 and 62910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62900 and 62910.

How to find the GCF of 62900 and 62910?

We will first find the prime factorization of 62900 and 62910. After we will calculate the factors of 62900 and 62910 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 62910

Prime factors of 62910 are 2, 3, 5, 233. Prime factorization of 62910 in exponential form is:

62910 = 2¹ × 3³ × 5¹ × 233¹

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 62910

List of positive integer factors of 62910 that divides 62900 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 233, 270, 466, 699, 1165, 1398, 2097, 2330, 3495, 4194, 6291, 6990, 10485, 12582, 20970, 31455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62900 and 62910. The biggest common factor number is the GCF number.
So the greatest common factor 62900 and 62910 is 10.

Also check out the Least Common Multiple of 62900 and 62910