What is the Greatest Common Factor of 75701 and 75705?

Greatest common factor (GCF) of 75701 and 75705 is 1.

GCF(75701,75705) = 1

We will now calculate the prime factors of 75701 and 75705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75701 and 75705.

How to find the GCF of 75701 and 75705?

We will first find the prime factorization of 75701 and 75705. After we will calculate the factors of 75701 and 75705 and find the biggest common factor number .

Step-1: Prime Factorization of 75701

Prime factors of 75701 are 17, 61, 73. Prime factorization of 75701 in exponential form is:

75701 = 17¹ × 61¹ × 73¹

Step-2: Prime Factorization of 75705

Prime factors of 75705 are 3, 5, 7, 103. Prime factorization of 75705 in exponential form is:

75705 = 3¹ × 5¹ × 7² × 103¹

Step-3: Factors of 75701

List of positive integer factors of 75701 that divides 75701 without a remainder.

1, 17, 61, 73, 1037, 1241, 4453

Step-4: Factors of 75705

List of positive integer factors of 75705 that divides 75701 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 103, 105, 147, 245, 309, 515, 721, 735, 1545, 2163, 3605, 5047, 10815, 15141, 25235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75701 and 75705. The biggest common factor number is the GCF number.
So the greatest common factor 75701 and 75705 is 1.

Also check out the Least Common Multiple of 75701 and 75705