What is the Greatest Common Factor of 73840 and 73850?

Greatest common factor (GCF) of 73840 and 73850 is 10.

GCF(73840,73850) = 10

We will now calculate the prime factors of 73840 and 73850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73840 and 73850.

How to find the GCF of 73840 and 73850?

We will first find the prime factorization of 73840 and 73850. After we will calculate the factors of 73840 and 73850 and find the biggest common factor number .

Step-1: Prime Factorization of 73840

Prime factors of 73840 are 2, 5, 13, 71. Prime factorization of 73840 in exponential form is:

73840 = 2⁴ × 5¹ × 13¹ × 71¹

Step-2: Prime Factorization of 73850

Prime factors of 73850 are 2, 5, 7, 211. Prime factorization of 73850 in exponential form is:

73850 = 2¹ × 5² × 7¹ × 211¹

Step-3: Factors of 73840

List of positive integer factors of 73840 that divides 73840 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 71, 80, 104, 130, 142, 208, 260, 284, 355, 520, 568, 710, 923, 1040, 1136, 1420, 1846, 2840, 3692, 4615, 5680, 7384, 9230, 14768, 18460, 36920

Step-4: Factors of 73850

List of positive integer factors of 73850 that divides 73840 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 211, 350, 422, 1055, 1477, 2110, 2954, 5275, 7385, 10550, 14770, 36925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73840 and 73850. The biggest common factor number is the GCF number.
So the greatest common factor 73840 and 73850 is 10.

Also check out the Least Common Multiple of 73840 and 73850