What is the Greatest Common Factor of 62706 and 62716?

Greatest common factor (GCF) of 62706 and 62716 is 2.

GCF(62706,62716) = 2

We will now calculate the prime factors of 62706 and 62716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62706 and 62716.

How to find the GCF of 62706 and 62716?

We will first find the prime factorization of 62706 and 62716. After we will calculate the factors of 62706 and 62716 and find the biggest common factor number .

Step-1: Prime Factorization of 62706

Prime factors of 62706 are 2, 3, 7, 1493. Prime factorization of 62706 in exponential form is:

62706 = 2¹ × 3¹ × 7¹ × 1493¹

Step-2: Prime Factorization of 62716

Prime factors of 62716 are 2, 15679. Prime factorization of 62716 in exponential form is:

62716 = 2² × 15679¹

Step-3: Factors of 62706

List of positive integer factors of 62706 that divides 62706 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1493, 2986, 4479, 8958, 10451, 20902, 31353

Step-4: Factors of 62716

List of positive integer factors of 62716 that divides 62706 without a remainder.

1, 2, 4, 15679, 31358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62706 and 62716. The biggest common factor number is the GCF number.
So the greatest common factor 62706 and 62716 is 2.

Also check out the Least Common Multiple of 62706 and 62716