What is the Greatest Common Factor of 85228 and 85242?

Greatest common factor (GCF) of 85228 and 85242 is 2.

GCF(85228,85242) = 2

We will now calculate the prime factors of 85228 and 85242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85228 and 85242.

How to find the GCF of 85228 and 85242?

We will first find the prime factorization of 85228 and 85242. After we will calculate the factors of 85228 and 85242 and find the biggest common factor number .

Step-1: Prime Factorization of 85228

Prime factors of 85228 are 2, 11, 13, 149. Prime factorization of 85228 in exponential form is:

85228 = 2² × 11¹ × 13¹ × 149¹

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 85228

List of positive integer factors of 85228 that divides 85228 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 149, 286, 298, 572, 596, 1639, 1937, 3278, 3874, 6556, 7748, 21307, 42614

Step-4: Factors of 85242

List of positive integer factors of 85242 that divides 85228 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85228 and 85242. The biggest common factor number is the GCF number.
So the greatest common factor 85228 and 85242 is 2.

Also check out the Least Common Multiple of 85228 and 85242