What is the Greatest Common Factor of 73090 and 73100?

Greatest common factor (GCF) of 73090 and 73100 is 10.

GCF(73090,73100) = 10

We will now calculate the prime factors of 73090 and 73100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73090 and 73100.

How to find the GCF of 73090 and 73100?

We will first find the prime factorization of 73090 and 73100. After we will calculate the factors of 73090 and 73100 and find the biggest common factor number .

Step-1: Prime Factorization of 73090

Prime factors of 73090 are 2, 5, 7309. Prime factorization of 73090 in exponential form is:

73090 = 2¹ × 5¹ × 7309¹

Step-2: Prime Factorization of 73100

Prime factors of 73100 are 2, 5, 17, 43. Prime factorization of 73100 in exponential form is:

73100 = 2² × 5² × 17¹ × 43¹

Step-3: Factors of 73090

List of positive integer factors of 73090 that divides 73090 without a remainder.

1, 2, 5, 10, 7309, 14618, 36545

Step-4: Factors of 73100

List of positive integer factors of 73100 that divides 73090 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 43, 50, 68, 85, 86, 100, 170, 172, 215, 340, 425, 430, 731, 850, 860, 1075, 1462, 1700, 2150, 2924, 3655, 4300, 7310, 14620, 18275, 36550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73090 and 73100. The biggest common factor number is the GCF number.
So the greatest common factor 73090 and 73100 is 10.

Also check out the Least Common Multiple of 73090 and 73100