What is the Greatest Common Factor of 62700 and 62714?

Greatest common factor (GCF) of 62700 and 62714 is 2.

GCF(62700,62714) = 2

We will now calculate the prime factors of 62700 and 62714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62700 and 62714.

How to find the GCF of 62700 and 62714?

We will first find the prime factorization of 62700 and 62714. After we will calculate the factors of 62700 and 62714 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 62714

Prime factors of 62714 are 2, 31357. Prime factorization of 62714 in exponential form is:

62714 = 2¹ × 31357¹

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 62714

List of positive integer factors of 62714 that divides 62700 without a remainder.

1, 2, 31357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62700 and 62714. The biggest common factor number is the GCF number.
So the greatest common factor 62700 and 62714 is 2.

Also check out the Least Common Multiple of 62700 and 62714