What is the Greatest Common Factor of 85007 and 85026?

Greatest common factor (GCF) of 85007 and 85026 is 1.

GCF(85007,85026) = 1

We will now calculate the prime factors of 85007 and 85026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85007 and 85026.

How to find the GCF of 85007 and 85026?

We will first find the prime factorization of 85007 and 85026. After we will calculate the factors of 85007 and 85026 and find the biggest common factor number .

Step-1: Prime Factorization of 85007

Prime factors of 85007 are 13, 503. Prime factorization of 85007 in exponential form is:

85007 = 13² × 503¹

Step-2: Prime Factorization of 85026

Prime factors of 85026 are 2, 3, 37, 383. Prime factorization of 85026 in exponential form is:

85026 = 2¹ × 3¹ × 37¹ × 383¹

Step-3: Factors of 85007

List of positive integer factors of 85007 that divides 85007 without a remainder.

1, 13, 169, 503, 6539

Step-4: Factors of 85026

List of positive integer factors of 85026 that divides 85007 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 383, 766, 1149, 2298, 14171, 28342, 42513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85007 and 85026. The biggest common factor number is the GCF number.
So the greatest common factor 85007 and 85026 is 1.

Also check out the Least Common Multiple of 85007 and 85026