What is the Greatest Common Factor of 83840 and 83850?

Greatest common factor (GCF) of 83840 and 83850 is 10.

GCF(83840,83850) = 10

We will now calculate the prime factors of 83840 and 83850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83840 and 83850.

How to find the GCF of 83840 and 83850?

We will first find the prime factorization of 83840 and 83850. After we will calculate the factors of 83840 and 83850 and find the biggest common factor number .

Step-1: Prime Factorization of 83840

Prime factors of 83840 are 2, 5, 131. Prime factorization of 83840 in exponential form is:

83840 = 2⁷ × 5¹ × 131¹

Step-2: Prime Factorization of 83850

Prime factors of 83850 are 2, 3, 5, 13, 43. Prime factorization of 83850 in exponential form is:

83850 = 2¹ × 3¹ × 5² × 13¹ × 43¹

Step-3: Factors of 83840

List of positive integer factors of 83840 that divides 83840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 131, 160, 262, 320, 524, 640, 655, 1048, 1310, 2096, 2620, 4192, 5240, 8384, 10480, 16768, 20960, 41920

Step-4: Factors of 83850

List of positive integer factors of 83850 that divides 83840 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 43, 50, 65, 75, 78, 86, 129, 130, 150, 195, 215, 258, 325, 390, 430, 559, 645, 650, 975, 1075, 1118, 1290, 1677, 1950, 2150, 2795, 3225, 3354, 5590, 6450, 8385, 13975, 16770, 27950, 41925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83840 and 83850. The biggest common factor number is the GCF number.
So the greatest common factor 83840 and 83850 is 10.

Also check out the Least Common Multiple of 83840 and 83850