What is the Greatest Common Factor of 63824 and 63840?

Greatest common factor (GCF) of 63824 and 63840 is 16.

GCF(63824,63840) = 16

We will now calculate the prime factors of 63824 and 63840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63824 and 63840.

How to find the GCF of 63824 and 63840?

We will first find the prime factorization of 63824 and 63840. After we will calculate the factors of 63824 and 63840 and find the biggest common factor number .

Step-1: Prime Factorization of 63824

Prime factors of 63824 are 2, 3989. Prime factorization of 63824 in exponential form is:

63824 = 2⁴ × 3989¹

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 63824

List of positive integer factors of 63824 that divides 63824 without a remainder.

1, 2, 4, 8, 16, 3989, 7978, 15956, 31912

Step-4: Factors of 63840

List of positive integer factors of 63840 that divides 63824 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 63824 and 63840. The biggest common factor number is the GCF number.
So the greatest common factor 63824 and 63840 is 16.

Also check out the Least Common Multiple of 63824 and 63840