What is the Greatest Common Factor of 62712 and 62717?

Greatest common factor (GCF) of 62712 and 62717 is 1.

GCF(62712,62717) = 1

We will now calculate the prime factors of 62712 and 62717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62712 and 62717.

How to find the GCF of 62712 and 62717?

We will first find the prime factorization of 62712 and 62717. After we will calculate the factors of 62712 and 62717 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 62717

Prime factors of 62717 are 59, 1063. Prime factorization of 62717 in exponential form is:

62717 = 59¹ × 1063¹

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 62717

List of positive integer factors of 62717 that divides 62712 without a remainder.

1, 59, 1063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62712 and 62717. The biggest common factor number is the GCF number.
So the greatest common factor 62712 and 62717 is 1.

Also check out the Least Common Multiple of 62712 and 62717