What is the Greatest Common Factor of 74035 and 74050?

Greatest common factor (GCF) of 74035 and 74050 is 5.

GCF(74035,74050) = 5

We will now calculate the prime factors of 74035 and 74050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74035 and 74050.

How to find the GCF of 74035 and 74050?

We will first find the prime factorization of 74035 and 74050. After we will calculate the factors of 74035 and 74050 and find the biggest common factor number .

Step-1: Prime Factorization of 74035

Prime factors of 74035 are 5, 13, 17, 67. Prime factorization of 74035 in exponential form is:

74035 = 5¹ × 13¹ × 17¹ × 67¹

Step-2: Prime Factorization of 74050

Prime factors of 74050 are 2, 5, 1481. Prime factorization of 74050 in exponential form is:

74050 = 2¹ × 5² × 1481¹

Step-3: Factors of 74035

List of positive integer factors of 74035 that divides 74035 without a remainder.

1, 5, 13, 17, 65, 67, 85, 221, 335, 871, 1105, 1139, 4355, 5695, 14807

Step-4: Factors of 74050

List of positive integer factors of 74050 that divides 74035 without a remainder.

1, 2, 5, 10, 25, 50, 1481, 2962, 7405, 14810, 37025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74035 and 74050. The biggest common factor number is the GCF number.
So the greatest common factor 74035 and 74050 is 5.

Also check out the Least Common Multiple of 74035 and 74050