What is the Greatest Common Factor of 63840 and 63846?

Greatest common factor (GCF) of 63840 and 63846 is 6.

GCF(63840,63846) = 6

We will now calculate the prime factors of 63840 and 63846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63840 and 63846.

How to find the GCF of 63840 and 63846?

We will first find the prime factorization of 63840 and 63846. After we will calculate the factors of 63840 and 63846 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63846

Prime factors of 63846 are 2, 3, 3547. Prime factorization of 63846 in exponential form is:

63846 = 2¹ × 3² × 3547¹

Step-3: Factors of 63840

List of positive integer factors of 63840 that divides 63840 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

Step-4: Factors of 63846

List of positive integer factors of 63846 that divides 63840 without a remainder.

1, 2, 3, 6, 9, 18, 3547, 7094, 10641, 21282, 31923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63840 and 63846. The biggest common factor number is the GCF number.
So the greatest common factor 63840 and 63846 is 6.

Also check out the Least Common Multiple of 63840 and 63846