What is the Greatest Common Factor of 84502 and 84513?

Greatest common factor (GCF) of 84502 and 84513 is 11.

GCF(84502,84513) = 11

We will now calculate the prime factors of 84502 and 84513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84502 and 84513.

How to find the GCF of 84502 and 84513?

We will first find the prime factorization of 84502 and 84513. After we will calculate the factors of 84502 and 84513 and find the biggest common factor number .

Step-1: Prime Factorization of 84502

Prime factors of 84502 are 2, 11, 23, 167. Prime factorization of 84502 in exponential form is:

84502 = 2¹ × 11¹ × 23¹ × 167¹

Step-2: Prime Factorization of 84513

Prime factors of 84513 are 3, 11, 13, 197. Prime factorization of 84513 in exponential form is:

84513 = 3¹ × 11¹ × 13¹ × 197¹

Step-3: Factors of 84502

List of positive integer factors of 84502 that divides 84502 without a remainder.

1, 2, 11, 22, 23, 46, 167, 253, 334, 506, 1837, 3674, 3841, 7682, 42251

Step-4: Factors of 84513

List of positive integer factors of 84513 that divides 84502 without a remainder.

1, 3, 11, 13, 33, 39, 143, 197, 429, 591, 2167, 2561, 6501, 7683, 28171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84502 and 84513. The biggest common factor number is the GCF number.
So the greatest common factor 84502 and 84513 is 11.

Also check out the Least Common Multiple of 84502 and 84513