What is the Greatest Common Factor of 62686 and 62699?

Greatest common factor (GCF) of 62686 and 62699 is 13.

GCF(62686,62699) = 13

We will now calculate the prime factors of 62686 and 62699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62686 and 62699.

How to find the GCF of 62686 and 62699?

We will first find the prime factorization of 62686 and 62699. After we will calculate the factors of 62686 and 62699 and find the biggest common factor number .

Step-1: Prime Factorization of 62686

Prime factors of 62686 are 2, 13, 2411. Prime factorization of 62686 in exponential form is:

62686 = 2¹ × 13¹ × 2411¹

Step-2: Prime Factorization of 62699

Prime factors of 62699 are 7, 13, 53. Prime factorization of 62699 in exponential form is:

62699 = 7¹ × 13² × 53¹

Step-3: Factors of 62686

List of positive integer factors of 62686 that divides 62686 without a remainder.

1, 2, 13, 26, 2411, 4822, 31343

Step-4: Factors of 62699

List of positive integer factors of 62699 that divides 62686 without a remainder.

1, 7, 13, 53, 91, 169, 371, 689, 1183, 4823, 8957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62686 and 62699. The biggest common factor number is the GCF number.
So the greatest common factor 62686 and 62699 is 13.

Also check out the Least Common Multiple of 62686 and 62699