What is the Greatest Common Factor of 43430 and 43450?

Greatest common factor (GCF) of 43430 and 43450 is 10.

GCF(43430,43450) = 10

We will now calculate the prime factors of 43430 and 43450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43430 and 43450.

How to find the GCF of 43430 and 43450?

We will first find the prime factorization of 43430 and 43450. After we will calculate the factors of 43430 and 43450 and find the biggest common factor number .

Step-1: Prime Factorization of 43430

Prime factors of 43430 are 2, 5, 43, 101. Prime factorization of 43430 in exponential form is:

43430 = 2¹ × 5¹ × 43¹ × 101¹

Step-2: Prime Factorization of 43450

Prime factors of 43450 are 2, 5, 11, 79. Prime factorization of 43450 in exponential form is:

43450 = 2¹ × 5² × 11¹ × 79¹

Step-3: Factors of 43430

List of positive integer factors of 43430 that divides 43430 without a remainder.

1, 2, 5, 10, 43, 86, 101, 202, 215, 430, 505, 1010, 4343, 8686, 21715

Step-4: Factors of 43450

List of positive integer factors of 43450 that divides 43430 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 79, 110, 158, 275, 395, 550, 790, 869, 1738, 1975, 3950, 4345, 8690, 21725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43430 and 43450. The biggest common factor number is the GCF number.
So the greatest common factor 43430 and 43450 is 10.

Also check out the Least Common Multiple of 43430 and 43450