What is the Greatest Common Factor of 85442 and 85449?

Greatest common factor (GCF) of 85442 and 85449 is 7.

GCF(85442,85449) = 7

We will now calculate the prime factors of 85442 and 85449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85442 and 85449.

How to find the GCF of 85442 and 85449?

We will first find the prime factorization of 85442 and 85449. After we will calculate the factors of 85442 and 85449 and find the biggest common factor number .

Step-1: Prime Factorization of 85442

Prime factors of 85442 are 2, 7, 17, 359. Prime factorization of 85442 in exponential form is:

85442 = 2¹ × 7¹ × 17¹ × 359¹

Step-2: Prime Factorization of 85449

Prime factors of 85449 are 3, 7, 13, 313. Prime factorization of 85449 in exponential form is:

85449 = 3¹ × 7¹ × 13¹ × 313¹

Step-3: Factors of 85442

List of positive integer factors of 85442 that divides 85442 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 359, 718, 2513, 5026, 6103, 12206, 42721

Step-4: Factors of 85449

List of positive integer factors of 85449 that divides 85442 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273, 313, 939, 2191, 4069, 6573, 12207, 28483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85442 and 85449. The biggest common factor number is the GCF number.
So the greatest common factor 85442 and 85449 is 7.

Also check out the Least Common Multiple of 85442 and 85449