What is the Greatest Common Factor of 85442 and 85458?

Greatest common factor (GCF) of 85442 and 85458 is 2.

GCF(85442,85458) = 2

We will now calculate the prime factors of 85442 and 85458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85442 and 85458.

How to find the GCF of 85442 and 85458?

We will first find the prime factorization of 85442 and 85458. After we will calculate the factors of 85442 and 85458 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 85458

Prime factors of 85458 are 2, 3, 14243. Prime factorization of 85458 in exponential form is:

85458 = 2¹ × 3¹ × 14243¹

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 85458

List of positive integer factors of 85458 that divides 85442 without a remainder.

1, 2, 3, 6, 14243, 28486, 42729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85442 and 85458. The biggest common factor number is the GCF number.
So the greatest common factor 85442 and 85458 is 2.

Also check out the Least Common Multiple of 85442 and 85458