What is the Greatest Common Factor of 72450 and 72470?

Greatest common factor (GCF) of 72450 and 72470 is 10.

GCF(72450,72470) = 10

We will now calculate the prime factors of 72450 and 72470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72450 and 72470.

How to find the GCF of 72450 and 72470?

We will first find the prime factorization of 72450 and 72470. After we will calculate the factors of 72450 and 72470 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72470

Prime factors of 72470 are 2, 5, 7247. Prime factorization of 72470 in exponential form is:

72470 = 2¹ × 5¹ × 7247¹

Step-3: Factors of 72450

List of positive integer factors of 72450 that divides 72450 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

Step-4: Factors of 72470

List of positive integer factors of 72470 that divides 72450 without a remainder.

1, 2, 5, 10, 7247, 14494, 36235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72450 and 72470. The biggest common factor number is the GCF number.
So the greatest common factor 72450 and 72470 is 10.

Also check out the Least Common Multiple of 72450 and 72470