What is the Greatest Common Factor of 63826 and 63840?

Greatest common factor (GCF) of 63826 and 63840 is 14.

GCF(63826,63840) = 14

We will now calculate the prime factors of 63826 and 63840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63826 and 63840.

How to find the GCF of 63826 and 63840?

We will first find the prime factorization of 63826 and 63840. After we will calculate the factors of 63826 and 63840 and find the biggest common factor number .

Step-1: Prime Factorization of 63826

Prime factors of 63826 are 2, 7, 47, 97. Prime factorization of 63826 in exponential form is:

63826 = 2¹ × 7¹ × 47¹ × 97¹

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 63826

List of positive integer factors of 63826 that divides 63826 without a remainder.

1, 2, 7, 14, 47, 94, 97, 194, 329, 658, 679, 1358, 4559, 9118, 31913

Step-4: Factors of 63840

List of positive integer factors of 63840 that divides 63826 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 63826 and 63840. The biggest common factor number is the GCF number.
So the greatest common factor 63826 and 63840 is 14.

Also check out the Least Common Multiple of 63826 and 63840