What is the Greatest Common Factor of 62700 and 62715?

Greatest common factor (GCF) of 62700 and 62715 is 15.

GCF(62700,62715) = 15

We will now calculate the prime factors of 62700 and 62715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62700 and 62715.

How to find the GCF of 62700 and 62715?

We will first find the prime factorization of 62700 and 62715. After we will calculate the factors of 62700 and 62715 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 62715

Prime factors of 62715 are 3, 5, 37, 113. Prime factorization of 62715 in exponential form is:

62715 = 3¹ × 5¹ × 37¹ × 113¹

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 62715

List of positive integer factors of 62715 that divides 62700 without a remainder.

1, 3, 5, 15, 37, 111, 113, 185, 339, 555, 565, 1695, 4181, 12543, 20905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62700 and 62715. The biggest common factor number is the GCF number.
So the greatest common factor 62700 and 62715 is 15.

Also check out the Least Common Multiple of 62700 and 62715