What is the Greatest Common Factor of 73830 and 73840?

Greatest common factor (GCF) of 73830 and 73840 is 10.

GCF(73830,73840) = 10

We will now calculate the prime factors of 73830 and 73840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73830 and 73840.

How to find the GCF of 73830 and 73840?

We will first find the prime factorization of 73830 and 73840. After we will calculate the factors of 73830 and 73840 and find the biggest common factor number .

Step-1: Prime Factorization of 73830

Prime factors of 73830 are 2, 3, 5, 23, 107. Prime factorization of 73830 in exponential form is:

73830 = 2¹ × 3¹ × 5¹ × 23¹ × 107¹

Step-2: 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-3: Factors of 73830

List of positive integer factors of 73830 that divides 73830 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 107, 115, 138, 214, 230, 321, 345, 535, 642, 690, 1070, 1605, 2461, 3210, 4922, 7383, 12305, 14766, 24610, 36915

Step-4: Factors of 73840

List of positive integer factors of 73840 that divides 73830 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73830 and 73840. The biggest common factor number is the GCF number.
So the greatest common factor 73830 and 73840 is 10.

Also check out the Least Common Multiple of 73830 and 73840