What is the Greatest Common Factor of 62880 and 62885?

Greatest common factor (GCF) of 62880 and 62885 is 5.

GCF(62880,62885) = 5

We will now calculate the prime factors of 62880 and 62885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62880 and 62885.

How to find the GCF of 62880 and 62885?

We will first find the prime factorization of 62880 and 62885. After we will calculate the factors of 62880 and 62885 and find the biggest common factor number .

Step-1: Prime Factorization of 62880

Prime factors of 62880 are 2, 3, 5, 131. Prime factorization of 62880 in exponential form is:

62880 = 2⁵ × 3¹ × 5¹ × 131¹

Step-2: Prime Factorization of 62885

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

62885 = 5¹ × 12577¹

Step-3: Factors of 62880

List of positive integer factors of 62880 that divides 62880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 131, 160, 240, 262, 393, 480, 524, 655, 786, 1048, 1310, 1572, 1965, 2096, 2620, 3144, 3930, 4192, 5240, 6288, 7860, 10480, 12576, 15720, 20960, 31440

Step-4: Factors of 62885

List of positive integer factors of 62885 that divides 62880 without a remainder.

1, 5, 12577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62880 and 62885. The biggest common factor number is the GCF number.
So the greatest common factor 62880 and 62885 is 5.

Also check out the Least Common Multiple of 62880 and 62885