What is the Greatest Common Factor of 73206 and 73213?

Greatest common factor (GCF) of 73206 and 73213 is 7.

GCF(73206,73213) = 7

We will now calculate the prime factors of 73206 and 73213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73206 and 73213.

How to find the GCF of 73206 and 73213?

We will first find the prime factorization of 73206 and 73213. After we will calculate the factors of 73206 and 73213 and find the biggest common factor number .

Step-1: Prime Factorization of 73206

Prime factors of 73206 are 2, 3, 7, 83. Prime factorization of 73206 in exponential form is:

73206 = 2¹ × 3² × 7² × 83¹

Step-2: Prime Factorization of 73213

Prime factors of 73213 are 7, 10459. Prime factorization of 73213 in exponential form is:

73213 = 7¹ × 10459¹

Step-3: Factors of 73206

List of positive integer factors of 73206 that divides 73206 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 83, 98, 126, 147, 166, 249, 294, 441, 498, 581, 747, 882, 1162, 1494, 1743, 3486, 4067, 5229, 8134, 10458, 12201, 24402, 36603

Step-4: Factors of 73213

List of positive integer factors of 73213 that divides 73206 without a remainder.

1, 7, 10459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73206 and 73213. The biggest common factor number is the GCF number.
So the greatest common factor 73206 and 73213 is 7.

Also check out the Least Common Multiple of 73206 and 73213