What is the Greatest Common Factor of 63840 and 63854?

Greatest common factor (GCF) of 63840 and 63854 is 14.

GCF(63840,63854) = 14

We will now calculate the prime factors of 63840 and 63854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63840 and 63854.

How to find the GCF of 63840 and 63854?

We will first find the prime factorization of 63840 and 63854. After we will calculate the factors of 63840 and 63854 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 63854

Prime factors of 63854 are 2, 7, 4561. Prime factorization of 63854 in exponential form is:

63854 = 2¹ × 7¹ × 4561¹

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 63854

List of positive integer factors of 63854 that divides 63840 without a remainder.

1, 2, 7, 14, 4561, 9122, 31927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63840 and 63854. The biggest common factor number is the GCF number.
So the greatest common factor 63840 and 63854 is 14.

Also check out the Least Common Multiple of 63840 and 63854