What is the Greatest Common Factor of 74150 and 74168?

Greatest common factor (GCF) of 74150 and 74168 is 2.

GCF(74150,74168) = 2

We will now calculate the prime factors of 74150 and 74168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74150 and 74168.

How to find the GCF of 74150 and 74168?

We will first find the prime factorization of 74150 and 74168. After we will calculate the factors of 74150 and 74168 and find the biggest common factor number .

Step-1: Prime Factorization of 74150

Prime factors of 74150 are 2, 5, 1483. Prime factorization of 74150 in exponential form is:

74150 = 2¹ × 5² × 1483¹

Step-2: Prime Factorization of 74168

Prime factors of 74168 are 2, 73, 127. Prime factorization of 74168 in exponential form is:

74168 = 2³ × 73¹ × 127¹

Step-3: Factors of 74150

List of positive integer factors of 74150 that divides 74150 without a remainder.

1, 2, 5, 10, 25, 50, 1483, 2966, 7415, 14830, 37075

Step-4: Factors of 74168

List of positive integer factors of 74168 that divides 74150 without a remainder.

1, 2, 4, 8, 73, 127, 146, 254, 292, 508, 584, 1016, 9271, 18542, 37084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74150 and 74168. The biggest common factor number is the GCF number.
So the greatest common factor 74150 and 74168 is 2.

Also check out the Least Common Multiple of 74150 and 74168