What is the Greatest Common Factor of 62896 and 62900?

Greatest common factor (GCF) of 62896 and 62900 is 4.

GCF(62896,62900) = 4

We will now calculate the prime factors of 62896 and 62900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62896 and 62900.

How to find the GCF of 62896 and 62900?

We will first find the prime factorization of 62896 and 62900. After we will calculate the factors of 62896 and 62900 and find the biggest common factor number .

Step-1: Prime Factorization of 62896

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

62896 = 2⁴ × 3931¹

Step-2: 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-3: Factors of 62896

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

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

Step-4: Factors of 62900

List of positive integer factors of 62900 that divides 62896 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62896 and 62900. The biggest common factor number is the GCF number.
So the greatest common factor 62896 and 62900 is 4.

Also check out the Least Common Multiple of 62896 and 62900