What is the Greatest Common Factor of 83710 and 83725?

Greatest common factor (GCF) of 83710 and 83725 is 5.

GCF(83710,83725) = 5

We will now calculate the prime factors of 83710 and 83725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83710 and 83725.

How to find the GCF of 83710 and 83725?

We will first find the prime factorization of 83710 and 83725. After we will calculate the factors of 83710 and 83725 and find the biggest common factor number .

Step-1: Prime Factorization of 83710

Prime factors of 83710 are 2, 5, 11, 761. Prime factorization of 83710 in exponential form is:

83710 = 2¹ × 5¹ × 11¹ × 761¹

Step-2: Prime Factorization of 83725

Prime factors of 83725 are 5, 17, 197. Prime factorization of 83725 in exponential form is:

83725 = 5² × 17¹ × 197¹

Step-3: Factors of 83710

List of positive integer factors of 83710 that divides 83710 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 761, 1522, 3805, 7610, 8371, 16742, 41855

Step-4: Factors of 83725

List of positive integer factors of 83725 that divides 83710 without a remainder.

1, 5, 17, 25, 85, 197, 425, 985, 3349, 4925, 16745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83710 and 83725. The biggest common factor number is the GCF number.
So the greatest common factor 83710 and 83725 is 5.

Also check out the Least Common Multiple of 83710 and 83725