What is the Greatest Common Factor of 85209 and 85224?

Greatest common factor (GCF) of 85209 and 85224 is 3.

GCF(85209,85224) = 3

We will now calculate the prime factors of 85209 and 85224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85209 and 85224.

How to find the GCF of 85209 and 85224?

We will first find the prime factorization of 85209 and 85224. After we will calculate the factors of 85209 and 85224 and find the biggest common factor number .

Step-1: Prime Factorization of 85209

Prime factors of 85209 are 3, 28403. Prime factorization of 85209 in exponential form is:

85209 = 3¹ × 28403¹

Step-2: Prime Factorization of 85224

Prime factors of 85224 are 2, 3, 53, 67. Prime factorization of 85224 in exponential form is:

85224 = 2³ × 3¹ × 53¹ × 67¹

Step-3: Factors of 85209

List of positive integer factors of 85209 that divides 85209 without a remainder.

1, 3, 28403

Step-4: Factors of 85224

List of positive integer factors of 85224 that divides 85209 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 53, 67, 106, 134, 159, 201, 212, 268, 318, 402, 424, 536, 636, 804, 1272, 1608, 3551, 7102, 10653, 14204, 21306, 28408, 42612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85209 and 85224. The biggest common factor number is the GCF number.
So the greatest common factor 85209 and 85224 is 3.

Also check out the Least Common Multiple of 85209 and 85224