What is the Greatest Common Factor of 62096 and 62116?

Greatest common factor (GCF) of 62096 and 62116 is 4.

GCF(62096,62116) = 4

We will now calculate the prime factors of 62096 and 62116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62096 and 62116.

How to find the GCF of 62096 and 62116?

We will first find the prime factorization of 62096 and 62116. After we will calculate the factors of 62096 and 62116 and find the biggest common factor number .

Step-1: Prime Factorization of 62096

Prime factors of 62096 are 2, 3881. Prime factorization of 62096 in exponential form is:

62096 = 2⁴ × 3881¹

Step-2: Prime Factorization of 62116

Prime factors of 62116 are 2, 53, 293. Prime factorization of 62116 in exponential form is:

62116 = 2² × 53¹ × 293¹

Step-3: Factors of 62096

List of positive integer factors of 62096 that divides 62096 without a remainder.

1, 2, 4, 8, 16, 3881, 7762, 15524, 31048

Step-4: Factors of 62116

List of positive integer factors of 62116 that divides 62096 without a remainder.

1, 2, 4, 53, 106, 212, 293, 586, 1172, 15529, 31058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62096 and 62116. The biggest common factor number is the GCF number.
So the greatest common factor 62096 and 62116 is 4.

Also check out the Least Common Multiple of 62096 and 62116