What is the Greatest Common Factor of 73840 and 73860?

Greatest common factor (GCF) of 73840 and 73860 is 20.

GCF(73840,73860) = 20

We will now calculate the prime factors of 73840 and 73860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73840 and 73860.

How to find the GCF of 73840 and 73860?

We will first find the prime factorization of 73840 and 73860. After we will calculate the factors of 73840 and 73860 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 73860

Prime factors of 73860 are 2, 3, 5, 1231. Prime factorization of 73860 in exponential form is:

73860 = 2² × 3¹ × 5¹ × 1231¹

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 73860

List of positive integer factors of 73860 that divides 73840 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1231, 2462, 3693, 4924, 6155, 7386, 12310, 14772, 18465, 24620, 36930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73840 and 73860. The biggest common factor number is the GCF number.
So the greatest common factor 73840 and 73860 is 20.

Also check out the Least Common Multiple of 73840 and 73860