What is the Greatest Common Factor of 74855 and 74870?

Greatest common factor (GCF) of 74855 and 74870 is 5.

GCF(74855,74870) = 5

We will now calculate the prime factors of 74855 and 74870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74855 and 74870.

How to find the GCF of 74855 and 74870?

We will first find the prime factorization of 74855 and 74870. After we will calculate the factors of 74855 and 74870 and find the biggest common factor number .

Step-1: Prime Factorization of 74855

Prime factors of 74855 are 5, 11, 1361. Prime factorization of 74855 in exponential form is:

74855 = 5¹ × 11¹ × 1361¹

Step-2: Prime Factorization of 74870

Prime factors of 74870 are 2, 5, 7487. Prime factorization of 74870 in exponential form is:

74870 = 2¹ × 5¹ × 7487¹

Step-3: Factors of 74855

List of positive integer factors of 74855 that divides 74855 without a remainder.

1, 5, 11, 55, 1361, 6805, 14971

Step-4: Factors of 74870

List of positive integer factors of 74870 that divides 74855 without a remainder.

1, 2, 5, 10, 7487, 14974, 37435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74855 and 74870. The biggest common factor number is the GCF number.
So the greatest common factor 74855 and 74870 is 5.

Also check out the Least Common Multiple of 74855 and 74870