What is the Greatest Common Factor of 83510 and 83525?

Greatest common factor (GCF) of 83510 and 83525 is 5.

GCF(83510,83525) = 5

We will now calculate the prime factors of 83510 and 83525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83510 and 83525.

How to find the GCF of 83510 and 83525?

We will first find the prime factorization of 83510 and 83525. After we will calculate the factors of 83510 and 83525 and find the biggest common factor number .

Step-1: Prime Factorization of 83510

Prime factors of 83510 are 2, 5, 7, 1193. Prime factorization of 83510 in exponential form is:

83510 = 2¹ × 5¹ × 7¹ × 1193¹

Step-2: Prime Factorization of 83525

Prime factors of 83525 are 5, 13, 257. Prime factorization of 83525 in exponential form is:

83525 = 5² × 13¹ × 257¹

Step-3: Factors of 83510

List of positive integer factors of 83510 that divides 83510 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1193, 2386, 5965, 8351, 11930, 16702, 41755

Step-4: Factors of 83525

List of positive integer factors of 83525 that divides 83510 without a remainder.

1, 5, 13, 25, 65, 257, 325, 1285, 3341, 6425, 16705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83510 and 83525. The biggest common factor number is the GCF number.
So the greatest common factor 83510 and 83525 is 5.

Also check out the Least Common Multiple of 83510 and 83525