What is the Greatest Common Factor of 62116 and 62122?

Greatest common factor (GCF) of 62116 and 62122 is 2.

GCF(62116,62122) = 2

We will now calculate the prime factors of 62116 and 62122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62116 and 62122.

How to find the GCF of 62116 and 62122?

We will first find the prime factorization of 62116 and 62122. After we will calculate the factors of 62116 and 62122 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62122

Prime factors of 62122 are 2, 89, 349. Prime factorization of 62122 in exponential form is:

62122 = 2¹ × 89¹ × 349¹

Step-3: Factors of 62116

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

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

Step-4: Factors of 62122

List of positive integer factors of 62122 that divides 62116 without a remainder.

1, 2, 89, 178, 349, 698, 31061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62116 and 62122. The biggest common factor number is the GCF number.
So the greatest common factor 62116 and 62122 is 2.

Also check out the Least Common Multiple of 62116 and 62122