What is the Greatest Common Factor of 62712 and 62719?

Greatest common factor (GCF) of 62712 and 62719 is 1.

GCF(62712,62719) = 1

We will now calculate the prime factors of 62712 and 62719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62712 and 62719.

How to find the GCF of 62712 and 62719?

We will first find the prime factorization of 62712 and 62719. After we will calculate the factors of 62712 and 62719 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 62719

Prime factors of 62719 are 19, 3301. Prime factorization of 62719 in exponential form is:

62719 = 19¹ × 3301¹

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 62719

List of positive integer factors of 62719 that divides 62712 without a remainder.

1, 19, 3301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62712 and 62719. The biggest common factor number is the GCF number.
So the greatest common factor 62712 and 62719 is 1.

Also check out the Least Common Multiple of 62712 and 62719