What is the Greatest Common Factor of 74030 and 74050?

Greatest common factor (GCF) of 74030 and 74050 is 10.

GCF(74030,74050) = 10

We will now calculate the prime factors of 74030 and 74050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74030 and 74050.

How to find the GCF of 74030 and 74050?

We will first find the prime factorization of 74030 and 74050. After we will calculate the factors of 74030 and 74050 and find the biggest common factor number .

Step-1: Prime Factorization of 74030

Prime factors of 74030 are 2, 5, 11, 673. Prime factorization of 74030 in exponential form is:

74030 = 2¹ × 5¹ × 11¹ × 673¹

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 74030

List of positive integer factors of 74030 that divides 74030 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 673, 1346, 3365, 6730, 7403, 14806, 37015

Step-4: Factors of 74050

List of positive integer factors of 74050 that divides 74030 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 74030 and 74050. The biggest common factor number is the GCF number.
So the greatest common factor 74030 and 74050 is 10.

Also check out the Least Common Multiple of 74030 and 74050