What is the Greatest Common Factor of 62711 and 62722?

Greatest common factor (GCF) of 62711 and 62722 is 11.

GCF(62711,62722) = 11

We will now calculate the prime factors of 62711 and 62722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62711 and 62722.

How to find the GCF of 62711 and 62722?

We will first find the prime factorization of 62711 and 62722. After we will calculate the factors of 62711 and 62722 and find the biggest common factor number .

Step-1: Prime Factorization of 62711

Prime factors of 62711 are 11, 5701. Prime factorization of 62711 in exponential form is:

62711 = 11¹ × 5701¹

Step-2: Prime Factorization of 62722

Prime factors of 62722 are 2, 11, 2851. Prime factorization of 62722 in exponential form is:

62722 = 2¹ × 11¹ × 2851¹

Step-3: Factors of 62711

List of positive integer factors of 62711 that divides 62711 without a remainder.

1, 11, 5701

Step-4: Factors of 62722

List of positive integer factors of 62722 that divides 62711 without a remainder.

1, 2, 11, 22, 2851, 5702, 31361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62711 and 62722. The biggest common factor number is the GCF number.
So the greatest common factor 62711 and 62722 is 11.

Also check out the Least Common Multiple of 62711 and 62722