What is the Greatest Common Factor of 62885 and 62895?

Greatest common factor (GCF) of 62885 and 62895 is 5.

GCF(62885,62895) = 5

We will now calculate the prime factors of 62885 and 62895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62885 and 62895.

How to find the GCF of 62885 and 62895?

We will first find the prime factorization of 62885 and 62895. After we will calculate the factors of 62885 and 62895 and find the biggest common factor number .

Step-1: Prime Factorization of 62885

Prime factors of 62885 are 5, 12577. Prime factorization of 62885 in exponential form is:

62885 = 5¹ × 12577¹

Step-2: 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-3: Factors of 62885

List of positive integer factors of 62885 that divides 62885 without a remainder.

1, 5, 12577

Step-4: Factors of 62895

List of positive integer factors of 62895 that divides 62885 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62885 and 62895. The biggest common factor number is the GCF number.
So the greatest common factor 62885 and 62895 is 5.

Also check out the Least Common Multiple of 62885 and 62895