What is the Greatest Common Factor of 63833 and 63840?

Greatest common factor (GCF) of 63833 and 63840 is 7.

GCF(63833,63840) = 7

We will now calculate the prime factors of 63833 and 63840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63833 and 63840.

How to find the GCF of 63833 and 63840?

We will first find the prime factorization of 63833 and 63840. After we will calculate the factors of 63833 and 63840 and find the biggest common factor number .

Step-1: Prime Factorization of 63833

Prime factors of 63833 are 7, 11, 829. Prime factorization of 63833 in exponential form is:

63833 = 7¹ × 11¹ × 829¹

Step-2: Prime Factorization of 63840

Prime factors of 63840 are 2, 3, 5, 7, 19. Prime factorization of 63840 in exponential form is:

63840 = 2⁵ × 3¹ × 5¹ × 7¹ × 19¹

Step-3: Factors of 63833

List of positive integer factors of 63833 that divides 63833 without a remainder.

1, 7, 11, 77, 829, 5803, 9119

Step-4: Factors of 63840

List of positive integer factors of 63840 that divides 63833 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 19, 20, 21, 24, 28, 30, 32, 35, 38, 40, 42, 48, 56, 57, 60, 70, 76, 80, 84, 95, 96, 105, 112, 114, 120, 133, 140, 152, 160, 168, 190, 210, 224, 228, 240, 266, 280, 285, 304, 336, 380, 399, 420, 456, 480, 532, 560, 570, 608, 665, 672, 760, 798, 840, 912, 1064, 1120, 1140, 1330, 1520, 1596, 1680, 1824, 1995, 2128, 2280, 2660, 3040, 3192, 3360, 3990, 4256, 4560, 5320, 6384, 7980, 9120, 10640, 12768, 15960, 21280, 31920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63833 and 63840. The biggest common factor number is the GCF number.
So the greatest common factor 63833 and 63840 is 7.

Also check out the Least Common Multiple of 63833 and 63840