What is the Greatest Common Factor of 63840 and 63850?

Greatest common factor (GCF) of 63840 and 63850 is 10.

GCF(63840,63850) = 10

We will now calculate the prime factors of 63840 and 63850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63840 and 63850.

How to find the GCF of 63840 and 63850?

We will first find the prime factorization of 63840 and 63850. After we will calculate the factors of 63840 and 63850 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 63850

Prime factors of 63850 are 2, 5, 1277. Prime factorization of 63850 in exponential form is:

63850 = 2¹ × 5² × 1277¹

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 63850

List of positive integer factors of 63850 that divides 63840 without a remainder.

1, 2, 5, 10, 25, 50, 1277, 2554, 6385, 12770, 31925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63840 and 63850. The biggest common factor number is the GCF number.
So the greatest common factor 63840 and 63850 is 10.

Also check out the Least Common Multiple of 63840 and 63850