What is the Greatest Common Factor of 74823 and 74837?

Greatest common factor (GCF) of 74823 and 74837 is 7.

GCF(74823,74837) = 7

We will now calculate the prime factors of 74823 and 74837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74823 and 74837.

How to find the GCF of 74823 and 74837?

We will first find the prime factorization of 74823 and 74837. After we will calculate the factors of 74823 and 74837 and find the biggest common factor number .

Step-1: Prime Factorization of 74823

Prime factors of 74823 are 3, 7, 509. Prime factorization of 74823 in exponential form is:

74823 = 3¹ × 7² × 509¹

Step-2: Prime Factorization of 74837

Prime factors of 74837 are 7, 10691. Prime factorization of 74837 in exponential form is:

74837 = 7¹ × 10691¹

Step-3: Factors of 74823

List of positive integer factors of 74823 that divides 74823 without a remainder.

1, 3, 7, 21, 49, 147, 509, 1527, 3563, 10689, 24941

Step-4: Factors of 74837

List of positive integer factors of 74837 that divides 74823 without a remainder.

1, 7, 10691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74823 and 74837. The biggest common factor number is the GCF number.
So the greatest common factor 74823 and 74837 is 7.

Also check out the Least Common Multiple of 74823 and 74837