What is the Greatest Common Factor of 73430 and 73438?

Greatest common factor (GCF) of 73430 and 73438 is 2.

GCF(73430,73438) = 2

We will now calculate the prime factors of 73430 and 73438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73430 and 73438.

How to find the GCF of 73430 and 73438?

We will first find the prime factorization of 73430 and 73438. After we will calculate the factors of 73430 and 73438 and find the biggest common factor number .

Step-1: Prime Factorization of 73430

Prime factors of 73430 are 2, 5, 7, 1049. Prime factorization of 73430 in exponential form is:

73430 = 2¹ × 5¹ × 7¹ × 1049¹

Step-2: Prime Factorization of 73438

Prime factors of 73438 are 2, 73, 503. Prime factorization of 73438 in exponential form is:

73438 = 2¹ × 73¹ × 503¹

Step-3: Factors of 73430

List of positive integer factors of 73430 that divides 73430 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1049, 2098, 5245, 7343, 10490, 14686, 36715

Step-4: Factors of 73438

List of positive integer factors of 73438 that divides 73430 without a remainder.

1, 2, 73, 146, 503, 1006, 36719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73430 and 73438. The biggest common factor number is the GCF number.
So the greatest common factor 73430 and 73438 is 2.

Also check out the Least Common Multiple of 73430 and 73438