What is the Greatest Common Factor of 72430 and 72450?

Greatest common factor (GCF) of 72430 and 72450 is 10.

GCF(72430,72450) = 10

We will now calculate the prime factors of 72430 and 72450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72430 and 72450.

How to find the GCF of 72430 and 72450?

We will first find the prime factorization of 72430 and 72450. After we will calculate the factors of 72430 and 72450 and find the biggest common factor number .

Step-1: Prime Factorization of 72430

Prime factors of 72430 are 2, 5, 7243. Prime factorization of 72430 in exponential form is:

72430 = 2¹ × 5¹ × 7243¹

Step-2: Prime Factorization of 72450

Prime factors of 72450 are 2, 3, 5, 7, 23. Prime factorization of 72450 in exponential form is:

72450 = 2¹ × 3² × 5² × 7¹ × 23¹

Step-3: Factors of 72430

List of positive integer factors of 72430 that divides 72430 without a remainder.

1, 2, 5, 10, 7243, 14486, 36215

Step-4: Factors of 72450

List of positive integer factors of 72450 that divides 72430 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 23, 25, 30, 35, 42, 45, 46, 50, 63, 69, 70, 75, 90, 105, 115, 126, 138, 150, 161, 175, 207, 210, 225, 230, 315, 322, 345, 350, 414, 450, 483, 525, 575, 630, 690, 805, 966, 1035, 1050, 1150, 1449, 1575, 1610, 1725, 2070, 2415, 2898, 3150, 3450, 4025, 4830, 5175, 7245, 8050, 10350, 12075, 14490, 24150, 36225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72430 and 72450. The biggest common factor number is the GCF number.
So the greatest common factor 72430 and 72450 is 10.

Also check out the Least Common Multiple of 72430 and 72450