What is the Greatest Common Factor of 63840 and 63858?

Greatest common factor (GCF) of 63840 and 63858 is 6.

GCF(63840,63858) = 6

We will now calculate the prime factors of 63840 and 63858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63840 and 63858.

How to find the GCF of 63840 and 63858?

We will first find the prime factorization of 63840 and 63858. After we will calculate the factors of 63840 and 63858 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 63858

Prime factors of 63858 are 2, 3, 29, 367. Prime factorization of 63858 in exponential form is:

63858 = 2¹ × 3¹ × 29¹ × 367¹

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 63858

List of positive integer factors of 63858 that divides 63840 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 367, 734, 1101, 2202, 10643, 21286, 31929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63840 and 63858. The biggest common factor number is the GCF number.
So the greatest common factor 63840 and 63858 is 6.

Also check out the Least Common Multiple of 63840 and 63858