What is the Greatest Common Factor of 85038 and 85049?

Greatest common factor (GCF) of 85038 and 85049 is 1.

GCF(85038,85049) = 1

We will now calculate the prime factors of 85038 and 85049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85038 and 85049.

How to find the GCF of 85038 and 85049?

We will first find the prime factorization of 85038 and 85049. After we will calculate the factors of 85038 and 85049 and find the biggest common factor number .

Step-1: Prime Factorization of 85038

Prime factors of 85038 are 2, 3, 14173. Prime factorization of 85038 in exponential form is:

85038 = 2¹ × 3¹ × 14173¹

Step-2: Prime Factorization of 85049

Prime factors of 85049 are 85049. Prime factorization of 85049 in exponential form is:

85049 = 85049¹

Step-3: Factors of 85038

List of positive integer factors of 85038 that divides 85038 without a remainder.

1, 2, 3, 6, 14173, 28346, 42519

Step-4: Factors of 85049

List of positive integer factors of 85049 that divides 85038 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85038 and 85049. The biggest common factor number is the GCF number.
So the greatest common factor 85038 and 85049 is 1.

Also check out the Least Common Multiple of 85038 and 85049