What is the Greatest Common Factor of 62699 and 62712?

Greatest common factor (GCF) of 62699 and 62712 is 13.

GCF(62699,62712) = 13

We will now calculate the prime factors of 62699 and 62712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62699 and 62712.

How to find the GCF of 62699 and 62712?

We will first find the prime factorization of 62699 and 62712. After we will calculate the factors of 62699 and 62712 and find the biggest common factor number .

Step-1: Prime Factorization of 62699

Prime factors of 62699 are 7, 13, 53. Prime factorization of 62699 in exponential form is:

62699 = 7¹ × 13² × 53¹

Step-2: 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-3: Factors of 62699

List of positive integer factors of 62699 that divides 62699 without a remainder.

1, 7, 13, 53, 91, 169, 371, 689, 1183, 4823, 8957

Step-4: Factors of 62712

List of positive integer factors of 62712 that divides 62699 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62699 and 62712. The biggest common factor number is the GCF number.
So the greatest common factor 62699 and 62712 is 13.

Also check out the Least Common Multiple of 62699 and 62712