What is the Greatest Common Factor of 62108 and 62116?

Greatest common factor (GCF) of 62108 and 62116 is 4.

GCF(62108,62116) = 4

We will now calculate the prime factors of 62108 and 62116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62108 and 62116.

How to find the GCF of 62108 and 62116?

We will first find the prime factorization of 62108 and 62116. After we will calculate the factors of 62108 and 62116 and find the biggest common factor number .

Step-1: Prime Factorization of 62108

Prime factors of 62108 are 2, 15527. Prime factorization of 62108 in exponential form is:

62108 = 2² × 15527¹

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 62108

List of positive integer factors of 62108 that divides 62108 without a remainder.

1, 2, 4, 15527, 31054

Step-4: Factors of 62116

List of positive integer factors of 62116 that divides 62108 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 62108 and 62116. The biggest common factor number is the GCF number.
So the greatest common factor 62108 and 62116 is 4.

Also check out the Least Common Multiple of 62108 and 62116