What is the Greatest Common Factor of 85442 and 85456?

Greatest common factor (GCF) of 85442 and 85456 is 14.

GCF(85442,85456) = 14

We will now calculate the prime factors of 85442 and 85456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85442 and 85456.

How to find the GCF of 85442 and 85456?

We will first find the prime factorization of 85442 and 85456. After we will calculate the factors of 85442 and 85456 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 85456

Prime factors of 85456 are 2, 7, 109. Prime factorization of 85456 in exponential form is:

85456 = 2⁴ × 7² × 109¹

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 85456

List of positive integer factors of 85456 that divides 85442 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 109, 112, 196, 218, 392, 436, 763, 784, 872, 1526, 1744, 3052, 5341, 6104, 10682, 12208, 21364, 42728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85442 and 85456. The biggest common factor number is the GCF number.
So the greatest common factor 85442 and 85456 is 14.

Also check out the Least Common Multiple of 85442 and 85456