What is the Greatest Common Factor of 74840 and 74857?

Greatest common factor (GCF) of 74840 and 74857 is 1.

GCF(74840,74857) = 1

We will now calculate the prime factors of 74840 and 74857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74840 and 74857.

How to find the GCF of 74840 and 74857?

We will first find the prime factorization of 74840 and 74857. After we will calculate the factors of 74840 and 74857 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74857

Prime factors of 74857 are 74857. Prime factorization of 74857 in exponential form is:

74857 = 74857¹

Step-3: Factors of 74840

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

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

Step-4: Factors of 74857

List of positive integer factors of 74857 that divides 74840 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74840 and 74857. The biggest common factor number is the GCF number.
So the greatest common factor 74840 and 74857 is 1.

Also check out the Least Common Multiple of 74840 and 74857