What is the Greatest Common Factor of 76430 and 76450?

Greatest common factor (GCF) of 76430 and 76450 is 10.

GCF(76430,76450) = 10

We will now calculate the prime factors of 76430 and 76450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76430 and 76450.

How to find the GCF of 76430 and 76450?

We will first find the prime factorization of 76430 and 76450. After we will calculate the factors of 76430 and 76450 and find the biggest common factor number .

Step-1: Prime Factorization of 76430

Prime factors of 76430 are 2, 5, 7643. Prime factorization of 76430 in exponential form is:

76430 = 2¹ × 5¹ × 7643¹

Step-2: Prime Factorization of 76450

Prime factors of 76450 are 2, 5, 11, 139. Prime factorization of 76450 in exponential form is:

76450 = 2¹ × 5² × 11¹ × 139¹

Step-3: Factors of 76430

List of positive integer factors of 76430 that divides 76430 without a remainder.

1, 2, 5, 10, 7643, 15286, 38215

Step-4: Factors of 76450

List of positive integer factors of 76450 that divides 76430 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 139, 275, 278, 550, 695, 1390, 1529, 3058, 3475, 6950, 7645, 15290, 38225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76430 and 76450. The biggest common factor number is the GCF number.
So the greatest common factor 76430 and 76450 is 10.

Also check out the Least Common Multiple of 76430 and 76450