What is the Greatest Common Factor of 83750 and 83765?

Greatest common factor (GCF) of 83750 and 83765 is 5.

GCF(83750,83765) = 5

We will now calculate the prime factors of 83750 and 83765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83750 and 83765.

How to find the GCF of 83750 and 83765?

We will first find the prime factorization of 83750 and 83765. After we will calculate the factors of 83750 and 83765 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83765

Prime factors of 83765 are 5, 11, 1523. Prime factorization of 83765 in exponential form is:

83765 = 5¹ × 11¹ × 1523¹

Step-3: Factors of 83750

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

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

Step-4: Factors of 83765

List of positive integer factors of 83765 that divides 83750 without a remainder.

1, 5, 11, 55, 1523, 7615, 16753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83750 and 83765. The biggest common factor number is the GCF number.
So the greatest common factor 83750 and 83765 is 5.

Also check out the Least Common Multiple of 83750 and 83765