What is the Greatest Common Factor of 74154 and 74169?

Greatest common factor (GCF) of 74154 and 74169 is 3.

GCF(74154,74169) = 3

We will now calculate the prime factors of 74154 and 74169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74154 and 74169.

How to find the GCF of 74154 and 74169?

We will first find the prime factorization of 74154 and 74169. After we will calculate the factors of 74154 and 74169 and find the biggest common factor number .

Step-1: Prime Factorization of 74154

Prime factors of 74154 are 2, 3, 17, 727. Prime factorization of 74154 in exponential form is:

74154 = 2¹ × 3¹ × 17¹ × 727¹

Step-2: Prime Factorization of 74169

Prime factors of 74169 are 3, 41, 67. Prime factorization of 74169 in exponential form is:

74169 = 3³ × 41¹ × 67¹

Step-3: Factors of 74154

List of positive integer factors of 74154 that divides 74154 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 727, 1454, 2181, 4362, 12359, 24718, 37077

Step-4: Factors of 74169

List of positive integer factors of 74169 that divides 74154 without a remainder.

1, 3, 9, 27, 41, 67, 123, 201, 369, 603, 1107, 1809, 2747, 8241, 24723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74154 and 74169. The biggest common factor number is the GCF number.
So the greatest common factor 74154 and 74169 is 3.

Also check out the Least Common Multiple of 74154 and 74169