What is the Greatest Common Factor of 74139 and 74148?

Greatest common factor (GCF) of 74139 and 74148 is 3.

GCF(74139,74148) = 3

We will now calculate the prime factors of 74139 and 74148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74139 and 74148.

How to find the GCF of 74139 and 74148?

We will first find the prime factorization of 74139 and 74148. After we will calculate the factors of 74139 and 74148 and find the biggest common factor number .

Step-1: Prime Factorization of 74139

Prime factors of 74139 are 3, 13, 1901. Prime factorization of 74139 in exponential form is:

74139 = 3¹ × 13¹ × 1901¹

Step-2: Prime Factorization of 74148

Prime factors of 74148 are 2, 3, 37, 167. Prime factorization of 74148 in exponential form is:

74148 = 2² × 3¹ × 37¹ × 167¹

Step-3: Factors of 74139

List of positive integer factors of 74139 that divides 74139 without a remainder.

1, 3, 13, 39, 1901, 5703, 24713

Step-4: Factors of 74148

List of positive integer factors of 74148 that divides 74139 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 167, 222, 334, 444, 501, 668, 1002, 2004, 6179, 12358, 18537, 24716, 37074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74139 and 74148. The biggest common factor number is the GCF number.
So the greatest common factor 74139 and 74148 is 3.

Also check out the Least Common Multiple of 74139 and 74148