What is the Greatest Common Factor of 83745 and 83750?

Greatest common factor (GCF) of 83745 and 83750 is 5.

GCF(83745,83750) = 5

We will now calculate the prime factors of 83745 and 83750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83745 and 83750.

How to find the GCF of 83745 and 83750?

We will first find the prime factorization of 83745 and 83750. After we will calculate the factors of 83745 and 83750 and find the biggest common factor number .

Step-1: Prime Factorization of 83745

Prime factors of 83745 are 3, 5, 1861. Prime factorization of 83745 in exponential form is:

83745 = 3² × 5¹ × 1861¹

Step-2: Prime Factorization of 83750

Prime factors of 83750 are 2, 5, 67. Prime factorization of 83750 in exponential form is:

83750 = 2¹ × 5⁴ × 67¹

Step-3: Factors of 83745

List of positive integer factors of 83745 that divides 83745 without a remainder.

1, 3, 5, 9, 15, 45, 1861, 5583, 9305, 16749, 27915

Step-4: Factors of 83750

List of positive integer factors of 83750 that divides 83745 without a remainder.

1, 2, 5, 10, 25, 50, 67, 125, 134, 250, 335, 625, 670, 1250, 1675, 3350, 8375, 16750, 41875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83745 and 83750. The biggest common factor number is the GCF number.
So the greatest common factor 83745 and 83750 is 5.

Also check out the Least Common Multiple of 83745 and 83750