What is the Greatest Common Factor of 15430 and 15450?

Greatest common factor (GCF) of 15430 and 15450 is 10.

GCF(15430,15450) = 10

We will now calculate the prime factors of 15430 and 15450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15430 and 15450.

How to find the GCF of 15430 and 15450?

We will first find the prime factorization of 15430 and 15450. After we will calculate the factors of 15430 and 15450 and find the biggest common factor number .

Step-1: Prime Factorization of 15430

Prime factors of 15430 are 2, 5, 1543. Prime factorization of 15430 in exponential form is:

15430 = 2¹ × 5¹ × 1543¹

Step-2: Prime Factorization of 15450

Prime factors of 15450 are 2, 3, 5, 103. Prime factorization of 15450 in exponential form is:

15450 = 2¹ × 3¹ × 5² × 103¹

Step-3: Factors of 15430

List of positive integer factors of 15430 that divides 15430 without a remainder.

1, 2, 5, 10, 1543, 3086, 7715

Step-4: Factors of 15450

List of positive integer factors of 15450 that divides 15430 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 103, 150, 206, 309, 515, 618, 1030, 1545, 2575, 3090, 5150, 7725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15430 and 15450. The biggest common factor number is the GCF number.
So the greatest common factor 15430 and 15450 is 10.

Also check out the Least Common Multiple of 15430 and 15450