What is the Greatest Common Factor of 62713 and 62727?

Greatest common factor (GCF) of 62713 and 62727 is 7.

GCF(62713,62727) = 7

We will now calculate the prime factors of 62713 and 62727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62713 and 62727.

How to find the GCF of 62713 and 62727?

We will first find the prime factorization of 62713 and 62727. After we will calculate the factors of 62713 and 62727 and find the biggest common factor number .

Step-1: Prime Factorization of 62713

Prime factors of 62713 are 7, 17, 31. Prime factorization of 62713 in exponential form is:

62713 = 7¹ × 17² × 31¹

Step-2: Prime Factorization of 62727

Prime factors of 62727 are 3, 7, 29, 103. Prime factorization of 62727 in exponential form is:

62727 = 3¹ × 7¹ × 29¹ × 103¹

Step-3: Factors of 62713

List of positive integer factors of 62713 that divides 62713 without a remainder.

1, 7, 17, 31, 119, 217, 289, 527, 2023, 3689, 8959

Step-4: Factors of 62727

List of positive integer factors of 62727 that divides 62713 without a remainder.

1, 3, 7, 21, 29, 87, 103, 203, 309, 609, 721, 2163, 2987, 8961, 20909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62713 and 62727. The biggest common factor number is the GCF number.
So the greatest common factor 62713 and 62727 is 7.

Also check out the Least Common Multiple of 62713 and 62727