What is the Greatest Common Factor of 62700 and 62712?

Greatest common factor (GCF) of 62700 and 62712 is 12.

GCF(62700,62712) = 12

We will now calculate the prime factors of 62700 and 62712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62700 and 62712.

How to find the GCF of 62700 and 62712?

We will first find the prime factorization of 62700 and 62712. After we will calculate the factors of 62700 and 62712 and find the biggest common factor number .

Step-1: Prime Factorization of 62700

Prime factors of 62700 are 2, 3, 5, 11, 19. Prime factorization of 62700 in exponential form is:

62700 = 2² × 3¹ × 5² × 11¹ × 19¹

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 62700

List of positive integer factors of 62700 that divides 62700 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 19, 20, 22, 25, 30, 33, 38, 44, 50, 55, 57, 60, 66, 75, 76, 95, 100, 110, 114, 132, 150, 165, 190, 209, 220, 228, 275, 285, 300, 330, 380, 418, 475, 550, 570, 627, 660, 825, 836, 950, 1045, 1100, 1140, 1254, 1425, 1650, 1900, 2090, 2508, 2850, 3135, 3300, 4180, 5225, 5700, 6270, 10450, 12540, 15675, 20900, 31350

Step-4: Factors of 62712

List of positive integer factors of 62712 that divides 62700 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 62700 and 62712. The biggest common factor number is the GCF number.
So the greatest common factor 62700 and 62712 is 12.

Also check out the Least Common Multiple of 62700 and 62712