What is the Greatest Common Factor of 62625 and 62640?

Greatest common factor (GCF) of 62625 and 62640 is 15.

GCF(62625,62640) = 15

We will now calculate the prime factors of 62625 and 62640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62625 and 62640.

How to find the GCF of 62625 and 62640?

We will first find the prime factorization of 62625 and 62640. After we will calculate the factors of 62625 and 62640 and find the biggest common factor number .

Step-1: Prime Factorization of 62625

Prime factors of 62625 are 3, 5, 167. Prime factorization of 62625 in exponential form is:

62625 = 3¹ × 5³ × 167¹

Step-2: Prime Factorization of 62640

Prime factors of 62640 are 2, 3, 5, 29. Prime factorization of 62640 in exponential form is:

62640 = 2⁴ × 3³ × 5¹ × 29¹

Step-3: Factors of 62625

List of positive integer factors of 62625 that divides 62625 without a remainder.

1, 3, 5, 15, 25, 75, 125, 167, 375, 501, 835, 2505, 4175, 12525, 20875

Step-4: Factors of 62640

List of positive integer factors of 62640 that divides 62625 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 29, 30, 36, 40, 45, 48, 54, 58, 60, 72, 80, 87, 90, 108, 116, 120, 135, 144, 145, 174, 180, 216, 232, 240, 261, 270, 290, 348, 360, 432, 435, 464, 522, 540, 580, 696, 720, 783, 870, 1044, 1080, 1160, 1305, 1392, 1566, 1740, 2088, 2160, 2320, 2610, 3132, 3480, 3915, 4176, 5220, 6264, 6960, 7830, 10440, 12528, 15660, 20880, 31320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62625 and 62640. The biggest common factor number is the GCF number.
So the greatest common factor 62625 and 62640 is 15.

Also check out the Least Common Multiple of 62625 and 62640