What is the Greatest Common Factor of 85224 and 85235?

Greatest common factor (GCF) of 85224 and 85235 is 1.

GCF(85224,85235) = 1

We will now calculate the prime factors of 85224 and 85235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85224 and 85235.

How to find the GCF of 85224 and 85235?

We will first find the prime factorization of 85224 and 85235. After we will calculate the factors of 85224 and 85235 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 85235

Prime factors of 85235 are 5, 17047. Prime factorization of 85235 in exponential form is:

85235 = 5¹ × 17047¹

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 85235

List of positive integer factors of 85235 that divides 85224 without a remainder.

1, 5, 17047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85224 and 85235. The biggest common factor number is the GCF number.
So the greatest common factor 85224 and 85235 is 1.

Also check out the Least Common Multiple of 85224 and 85235