What is the Greatest Common Factor of 85371 and 85380?

Greatest common factor (GCF) of 85371 and 85380 is 3.

GCF(85371,85380) = 3

We will now calculate the prime factors of 85371 and 85380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85371 and 85380.

How to find the GCF of 85371 and 85380?

We will first find the prime factorization of 85371 and 85380. After we will calculate the factors of 85371 and 85380 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 85380

Prime factors of 85380 are 2, 3, 5, 1423. Prime factorization of 85380 in exponential form is:

85380 = 2² × 3¹ × 5¹ × 1423¹

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 85380

List of positive integer factors of 85380 that divides 85371 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1423, 2846, 4269, 5692, 7115, 8538, 14230, 17076, 21345, 28460, 42690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85371 and 85380. The biggest common factor number is the GCF number.
So the greatest common factor 85371 and 85380 is 3.

Also check out the Least Common Multiple of 85371 and 85380