What is the Greatest Common Factor of 74858 and 74872?

Greatest common factor (GCF) of 74858 and 74872 is 14.

GCF(74858,74872) = 14

We will now calculate the prime factors of 74858 and 74872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74858 and 74872.

How to find the GCF of 74858 and 74872?

We will first find the prime factorization of 74858 and 74872. After we will calculate the factors of 74858 and 74872 and find the biggest common factor number .

Step-1: Prime Factorization of 74858

Prime factors of 74858 are 2, 7, 5347. Prime factorization of 74858 in exponential form is:

74858 = 2¹ × 7¹ × 5347¹

Step-2: Prime Factorization of 74872

Prime factors of 74872 are 2, 7, 191. Prime factorization of 74872 in exponential form is:

74872 = 2³ × 7² × 191¹

Step-3: Factors of 74858

List of positive integer factors of 74858 that divides 74858 without a remainder.

1, 2, 7, 14, 5347, 10694, 37429

Step-4: Factors of 74872

List of positive integer factors of 74872 that divides 74858 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 191, 196, 382, 392, 764, 1337, 1528, 2674, 5348, 9359, 10696, 18718, 37436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74858 and 74872. The biggest common factor number is the GCF number.
So the greatest common factor 74858 and 74872 is 14.

Also check out the Least Common Multiple of 74858 and 74872