What is the Greatest Common Factor of 74824 and 74839?

Greatest common factor (GCF) of 74824 and 74839 is 1.

GCF(74824,74839) = 1

We will now calculate the prime factors of 74824 and 74839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74824 and 74839.

How to find the GCF of 74824 and 74839?

We will first find the prime factorization of 74824 and 74839. After we will calculate the factors of 74824 and 74839 and find the biggest common factor number .

Step-1: Prime Factorization of 74824

Prime factors of 74824 are 2, 47, 199. Prime factorization of 74824 in exponential form is:

74824 = 2³ × 47¹ × 199¹

Step-2: Prime Factorization of 74839

Prime factors of 74839 are 67, 1117. Prime factorization of 74839 in exponential form is:

74839 = 67¹ × 1117¹

Step-3: Factors of 74824

List of positive integer factors of 74824 that divides 74824 without a remainder.

1, 2, 4, 8, 47, 94, 188, 199, 376, 398, 796, 1592, 9353, 18706, 37412

Step-4: Factors of 74839

List of positive integer factors of 74839 that divides 74824 without a remainder.

1, 67, 1117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74824 and 74839. The biggest common factor number is the GCF number.
So the greatest common factor 74824 and 74839 is 1.

Also check out the Least Common Multiple of 74824 and 74839