What is the Greatest Common Factor of 62712 and 62722?

Greatest common factor (GCF) of 62712 and 62722 is 2.

GCF(62712,62722) = 2

We will now calculate the prime factors of 62712 and 62722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62712 and 62722.

How to find the GCF of 62712 and 62722?

We will first find the prime factorization of 62712 and 62722. After we will calculate the factors of 62712 and 62722 and find the biggest common factor number .

Step-1: Prime Factorization of 62712

Prime factors of 62712 are 2, 3, 13, 67. Prime factorization of 62712 in exponential form is:

62712 = 2³ × 3² × 13¹ × 67¹

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 62712

List of positive integer factors of 62712 that divides 62712 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 67, 72, 78, 104, 117, 134, 156, 201, 234, 268, 312, 402, 468, 536, 603, 804, 871, 936, 1206, 1608, 1742, 2412, 2613, 3484, 4824, 5226, 6968, 7839, 10452, 15678, 20904, 31356

Step-4: Factors of 62722

List of positive integer factors of 62722 that divides 62712 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62712 and 62722. The biggest common factor number is the GCF number.
So the greatest common factor 62712 and 62722 is 2.

Also check out the Least Common Multiple of 62712 and 62722