What is the Greatest Common Factor of 73840 and 73853?

Greatest common factor (GCF) of 73840 and 73853 is 13.

GCF(73840,73853) = 13

We will now calculate the prime factors of 73840 and 73853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73840 and 73853.

How to find the GCF of 73840 and 73853?

We will first find the prime factorization of 73840 and 73853. After we will calculate the factors of 73840 and 73853 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 73853

Prime factors of 73853 are 13, 19, 23. Prime factorization of 73853 in exponential form is:

73853 = 13² × 19¹ × 23¹

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 73853

List of positive integer factors of 73853 that divides 73840 without a remainder.

1, 13, 19, 23, 169, 247, 299, 437, 3211, 3887, 5681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73840 and 73853. The biggest common factor number is the GCF number.
So the greatest common factor 73840 and 73853 is 13.

Also check out the Least Common Multiple of 73840 and 73853