What is the Greatest Common Factor of 62108 and 62114?

Greatest common factor (GCF) of 62108 and 62114 is 2.

GCF(62108,62114) = 2

We will now calculate the prime factors of 62108 and 62114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62108 and 62114.

How to find the GCF of 62108 and 62114?

We will first find the prime factorization of 62108 and 62114. After we will calculate the factors of 62108 and 62114 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 62114

Prime factors of 62114 are 2, 13, 2389. Prime factorization of 62114 in exponential form is:

62114 = 2¹ × 13¹ × 2389¹

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 62114

List of positive integer factors of 62114 that divides 62108 without a remainder.

1, 2, 13, 26, 2389, 4778, 31057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62108 and 62114. The biggest common factor number is the GCF number.
So the greatest common factor 62108 and 62114 is 2.

Also check out the Least Common Multiple of 62108 and 62114