What is the Greatest Common Factor of 85224 and 85242?

Greatest common factor (GCF) of 85224 and 85242 is 6.

GCF(85224,85242) = 6

We will now calculate the prime factors of 85224 and 85242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85224 and 85242.

How to find the GCF of 85224 and 85242?

We will first find the prime factorization of 85224 and 85242. After we will calculate the factors of 85224 and 85242 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85242

Prime factors of 85242 are 2, 3, 14207. Prime factorization of 85242 in exponential form is:

85242 = 2¹ × 3¹ × 14207¹

Step-3: Factors of 85224

List of positive integer factors of 85224 that divides 85224 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

Step-4: Factors of 85242

List of positive integer factors of 85242 that divides 85224 without a remainder.

1, 2, 3, 6, 14207, 28414, 42621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85224 and 85242. The biggest common factor number is the GCF number.
So the greatest common factor 85224 and 85242 is 6.

Also check out the Least Common Multiple of 85224 and 85242