What is the Greatest Common Factor of 81202 and 81213?

Greatest common factor (GCF) of 81202 and 81213 is 11.

GCF(81202,81213) = 11

We will now calculate the prime factors of 81202 and 81213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81202 and 81213.

How to find the GCF of 81202 and 81213?

We will first find the prime factorization of 81202 and 81213. After we will calculate the factors of 81202 and 81213 and find the biggest common factor number .

Step-1: Prime Factorization of 81202

Prime factors of 81202 are 2, 11, 3691. Prime factorization of 81202 in exponential form is:

81202 = 2¹ × 11¹ × 3691¹

Step-2: Prime Factorization of 81213

Prime factors of 81213 are 3, 11, 23, 107. Prime factorization of 81213 in exponential form is:

81213 = 3¹ × 11¹ × 23¹ × 107¹

Step-3: Factors of 81202

List of positive integer factors of 81202 that divides 81202 without a remainder.

1, 2, 11, 22, 3691, 7382, 40601

Step-4: Factors of 81213

List of positive integer factors of 81213 that divides 81202 without a remainder.

1, 3, 11, 23, 33, 69, 107, 253, 321, 759, 1177, 2461, 3531, 7383, 27071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81202 and 81213. The biggest common factor number is the GCF number.
So the greatest common factor 81202 and 81213 is 11.

Also check out the Least Common Multiple of 81202 and 81213