What is the Greatest Common Factor of 85386 and 85404?

Greatest common factor (GCF) of 85386 and 85404 is 6.

GCF(85386,85404) = 6

We will now calculate the prime factors of 85386 and 85404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85386 and 85404.

How to find the GCF of 85386 and 85404?

We will first find the prime factorization of 85386 and 85404. After we will calculate the factors of 85386 and 85404 and find the biggest common factor number .

Step-1: Prime Factorization of 85386

Prime factors of 85386 are 2, 3, 7, 19, 107. Prime factorization of 85386 in exponential form is:

85386 = 2¹ × 3¹ × 7¹ × 19¹ × 107¹

Step-2: Prime Factorization of 85404

Prime factors of 85404 are 2, 3, 11, 647. Prime factorization of 85404 in exponential form is:

85404 = 2² × 3¹ × 11¹ × 647¹

Step-3: Factors of 85386

List of positive integer factors of 85386 that divides 85386 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 107, 114, 133, 214, 266, 321, 399, 642, 749, 798, 1498, 2033, 2247, 4066, 4494, 6099, 12198, 14231, 28462, 42693

Step-4: Factors of 85404

List of positive integer factors of 85404 that divides 85386 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 647, 1294, 1941, 2588, 3882, 7117, 7764, 14234, 21351, 28468, 42702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85386 and 85404. The biggest common factor number is the GCF number.
So the greatest common factor 85386 and 85404 is 6.

Also check out the Least Common Multiple of 85386 and 85404