What is the Greatest Common Factor of 75782 and 75802?

Greatest common factor (GCF) of 75782 and 75802 is 2.

GCF(75782,75802) = 2

We will now calculate the prime factors of 75782 and 75802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75782 and 75802.

How to find the GCF of 75782 and 75802?

We will first find the prime factorization of 75782 and 75802. After we will calculate the factors of 75782 and 75802 and find the biggest common factor number .

Step-1: Prime Factorization of 75782

Prime factors of 75782 are 2, 7, 5413. Prime factorization of 75782 in exponential form is:

75782 = 2¹ × 7¹ × 5413¹

Step-2: Prime Factorization of 75802

Prime factors of 75802 are 2, 151, 251. Prime factorization of 75802 in exponential form is:

75802 = 2¹ × 151¹ × 251¹

Step-3: Factors of 75782

List of positive integer factors of 75782 that divides 75782 without a remainder.

1, 2, 7, 14, 5413, 10826, 37891

Step-4: Factors of 75802

List of positive integer factors of 75802 that divides 75782 without a remainder.

1, 2, 151, 251, 302, 502, 37901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75782 and 75802. The biggest common factor number is the GCF number.
So the greatest common factor 75782 and 75802 is 2.

Also check out the Least Common Multiple of 75782 and 75802