What is the Greatest Common Factor of 85371 and 85386?

Greatest common factor (GCF) of 85371 and 85386 is 3.

GCF(85371,85386) = 3

We will now calculate the prime factors of 85371 and 85386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85371 and 85386.

How to find the GCF of 85371 and 85386?

We will first find the prime factorization of 85371 and 85386. After we will calculate the factors of 85371 and 85386 and find the biggest common factor number .

Step-1: Prime Factorization of 85371

Prime factors of 85371 are 3, 11, 13, 199. Prime factorization of 85371 in exponential form is:

85371 = 3¹ × 11¹ × 13¹ × 199¹

Step-2: 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-3: Factors of 85371

List of positive integer factors of 85371 that divides 85371 without a remainder.

1, 3, 11, 13, 33, 39, 143, 199, 429, 597, 2189, 2587, 6567, 7761, 28457

Step-4: Factors of 85386

List of positive integer factors of 85386 that divides 85371 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85371 and 85386. The biggest common factor number is the GCF number.
So the greatest common factor 85371 and 85386 is 3.

Also check out the Least Common Multiple of 85371 and 85386