What is the Greatest Common Factor of 74137 and 74154?

Greatest common factor (GCF) of 74137 and 74154 is 17.

GCF(74137,74154) = 17

We will now calculate the prime factors of 74137 and 74154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74137 and 74154.

How to find the GCF of 74137 and 74154?

We will first find the prime factorization of 74137 and 74154. After we will calculate the factors of 74137 and 74154 and find the biggest common factor number .

Step-1: Prime Factorization of 74137

Prime factors of 74137 are 7, 17, 89. Prime factorization of 74137 in exponential form is:

74137 = 7² × 17¹ × 89¹

Step-2: 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-3: Factors of 74137

List of positive integer factors of 74137 that divides 74137 without a remainder.

1, 7, 17, 49, 89, 119, 623, 833, 1513, 4361, 10591

Step-4: Factors of 74154

List of positive integer factors of 74154 that divides 74137 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74137 and 74154. The biggest common factor number is the GCF number.
So the greatest common factor 74137 and 74154 is 17.

Also check out the Least Common Multiple of 74137 and 74154