What is the Greatest Common Factor of 62640 and 62650?

Greatest common factor (GCF) of 62640 and 62650 is 10.

GCF(62640,62650) = 10

We will now calculate the prime factors of 62640 and 62650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62640 and 62650.

How to find the GCF of 62640 and 62650?

We will first find the prime factorization of 62640 and 62650. After we will calculate the factors of 62640 and 62650 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62650

Prime factors of 62650 are 2, 5, 7, 179. Prime factorization of 62650 in exponential form is:

62650 = 2¹ × 5² × 7¹ × 179¹

Step-3: Factors of 62640

List of positive integer factors of 62640 that divides 62640 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

Step-4: Factors of 62650

List of positive integer factors of 62650 that divides 62640 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 179, 350, 358, 895, 1253, 1790, 2506, 4475, 6265, 8950, 12530, 31325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62640 and 62650. The biggest common factor number is the GCF number.
So the greatest common factor 62640 and 62650 is 10.

Also check out the Least Common Multiple of 62640 and 62650