What is the Greatest Common Factor of 62640 and 62649?

Greatest common factor (GCF) of 62640 and 62649 is 9.

GCF(62640,62649) = 9

We will now calculate the prime factors of 62640 and 62649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62640 and 62649.

How to find the GCF of 62640 and 62649?

We will first find the prime factorization of 62640 and 62649. After we will calculate the factors of 62640 and 62649 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 62649

Prime factors of 62649 are 3, 6961. Prime factorization of 62649 in exponential form is:

62649 = 3² × 6961¹

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 62649

List of positive integer factors of 62649 that divides 62640 without a remainder.

1, 3, 9, 6961, 20883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62640 and 62649. The biggest common factor number is the GCF number.
So the greatest common factor 62640 and 62649 is 9.

Also check out the Least Common Multiple of 62640 and 62649