What is the Greatest Common Factor of 62880 and 62896?

Greatest common factor (GCF) of 62880 and 62896 is 16.

GCF(62880,62896) = 16

We will now calculate the prime factors of 62880 and 62896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62880 and 62896.

How to find the GCF of 62880 and 62896?

We will first find the prime factorization of 62880 and 62896. After we will calculate the factors of 62880 and 62896 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 62896

Prime factors of 62896 are 2, 3931. Prime factorization of 62896 in exponential form is:

62896 = 2⁴ × 3931¹

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 62896

List of positive integer factors of 62896 that divides 62880 without a remainder.

1, 2, 4, 8, 16, 3931, 7862, 15724, 31448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62880 and 62896. The biggest common factor number is the GCF number.
So the greatest common factor 62880 and 62896 is 16.

Also check out the Least Common Multiple of 62880 and 62896