What is the Greatest Common Factor of 85386 and 85398?

Greatest common factor (GCF) of 85386 and 85398 is 6.

GCF(85386,85398) = 6

We will now calculate the prime factors of 85386 and 85398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85386 and 85398.

How to find the GCF of 85386 and 85398?

We will first find the prime factorization of 85386 and 85398. After we will calculate the factors of 85386 and 85398 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 85398

Prime factors of 85398 are 2, 3, 43, 331. Prime factorization of 85398 in exponential form is:

85398 = 2¹ × 3¹ × 43¹ × 331¹

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 85398

List of positive integer factors of 85398 that divides 85386 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 331, 662, 993, 1986, 14233, 28466, 42699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85386 and 85398. The biggest common factor number is the GCF number.
So the greatest common factor 85386 and 85398 is 6.

Also check out the Least Common Multiple of 85386 and 85398