What is the Greatest Common Factor of 62710 and 62722?

Greatest common factor (GCF) of 62710 and 62722 is 2.

GCF(62710,62722) = 2

We will now calculate the prime factors of 62710 and 62722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62710 and 62722.

How to find the GCF of 62710 and 62722?

We will first find the prime factorization of 62710 and 62722. After we will calculate the factors of 62710 and 62722 and find the biggest common factor number .

Step-1: Prime Factorization of 62710

Prime factors of 62710 are 2, 5, 6271. Prime factorization of 62710 in exponential form is:

62710 = 2¹ × 5¹ × 6271¹

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 62710

List of positive integer factors of 62710 that divides 62710 without a remainder.

1, 2, 5, 10, 6271, 12542, 31355

Step-4: Factors of 62722

List of positive integer factors of 62722 that divides 62710 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62710 and 62722. The biggest common factor number is the GCF number.
So the greatest common factor 62710 and 62722 is 2.

Also check out the Least Common Multiple of 62710 and 62722