What is the Greatest Common Factor of 85490 and 85507?

Greatest common factor (GCF) of 85490 and 85507 is 1.

GCF(85490,85507) = 1

We will now calculate the prime factors of 85490 and 85507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85490 and 85507.

How to find the GCF of 85490 and 85507?

We will first find the prime factorization of 85490 and 85507. After we will calculate the factors of 85490 and 85507 and find the biggest common factor number .

Step-1: Prime Factorization of 85490

Prime factors of 85490 are 2, 5, 83, 103. Prime factorization of 85490 in exponential form is:

85490 = 2¹ × 5¹ × 83¹ × 103¹

Step-2: Prime Factorization of 85507

Prime factors of 85507 are 37, 2311. Prime factorization of 85507 in exponential form is:

85507 = 37¹ × 2311¹

Step-3: Factors of 85490

List of positive integer factors of 85490 that divides 85490 without a remainder.

1, 2, 5, 10, 83, 103, 166, 206, 415, 515, 830, 1030, 8549, 17098, 42745

Step-4: Factors of 85507

List of positive integer factors of 85507 that divides 85490 without a remainder.

1, 37, 2311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85490 and 85507. The biggest common factor number is the GCF number.
So the greatest common factor 85490 and 85507 is 1.

Also check out the Least Common Multiple of 85490 and 85507