What is the Greatest Common Factor of 62712 and 62729?

Greatest common factor (GCF) of 62712 and 62729 is 1.

GCF(62712,62729) = 1

We will now calculate the prime factors of 62712 and 62729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62712 and 62729.

How to find the GCF of 62712 and 62729?

We will first find the prime factorization of 62712 and 62729. After we will calculate the factors of 62712 and 62729 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 62729

Prime factors of 62729 are 149, 421. Prime factorization of 62729 in exponential form is:

62729 = 149¹ × 421¹

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 62729

List of positive integer factors of 62729 that divides 62712 without a remainder.

1, 149, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62712 and 62729. The biggest common factor number is the GCF number.
So the greatest common factor 62712 and 62729 is 1.

Also check out the Least Common Multiple of 62712 and 62729