What is the Greatest Common Factor of 62895 and 62910?

Greatest common factor (GCF) of 62895 and 62910 is 15.

GCF(62895,62910) = 15

We will now calculate the prime factors of 62895 and 62910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62895 and 62910.

How to find the GCF of 62895 and 62910?

We will first find the prime factorization of 62895 and 62910. After we will calculate the factors of 62895 and 62910 and find the biggest common factor number .

Step-1: Prime Factorization of 62895

Prime factors of 62895 are 3, 5, 7, 599. Prime factorization of 62895 in exponential form is:

62895 = 3¹ × 5¹ × 7¹ × 599¹

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 62895

List of positive integer factors of 62895 that divides 62895 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 599, 1797, 2995, 4193, 8985, 12579, 20965

Step-4: Factors of 62910

List of positive integer factors of 62910 that divides 62895 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 62895 and 62910. The biggest common factor number is the GCF number.
So the greatest common factor 62895 and 62910 is 15.

Also check out the Least Common Multiple of 62895 and 62910