What is the Greatest Common Factor of 74834 and 74840?

Greatest common factor (GCF) of 74834 and 74840 is 2.

GCF(74834,74840) = 2

We will now calculate the prime factors of 74834 and 74840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74834 and 74840.

How to find the GCF of 74834 and 74840?

We will first find the prime factorization of 74834 and 74840. After we will calculate the factors of 74834 and 74840 and find the biggest common factor number .

Step-1: Prime Factorization of 74834

Prime factors of 74834 are 2, 17, 31, 71. Prime factorization of 74834 in exponential form is:

74834 = 2¹ × 17¹ × 31¹ × 71¹

Step-2: Prime Factorization of 74840

Prime factors of 74840 are 2, 5, 1871. Prime factorization of 74840 in exponential form is:

74840 = 2³ × 5¹ × 1871¹

Step-3: Factors of 74834

List of positive integer factors of 74834 that divides 74834 without a remainder.

1, 2, 17, 31, 34, 62, 71, 142, 527, 1054, 1207, 2201, 2414, 4402, 37417

Step-4: Factors of 74840

List of positive integer factors of 74840 that divides 74834 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1871, 3742, 7484, 9355, 14968, 18710, 37420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74834 and 74840. The biggest common factor number is the GCF number.
So the greatest common factor 74834 and 74840 is 2.

Also check out the Least Common Multiple of 74834 and 74840