What is the Greatest Common Factor of 75712 and 75717?

Greatest common factor (GCF) of 75712 and 75717 is 1.

GCF(75712,75717) = 1

We will now calculate the prime factors of 75712 and 75717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75712 and 75717.

How to find the GCF of 75712 and 75717?

We will first find the prime factorization of 75712 and 75717. After we will calculate the factors of 75712 and 75717 and find the biggest common factor number .

Step-1: Prime Factorization of 75712

Prime factors of 75712 are 2, 7, 13. Prime factorization of 75712 in exponential form is:

75712 = 2⁶ × 7¹ × 13²

Step-2: Prime Factorization of 75717

Prime factors of 75717 are 3, 47, 179. Prime factorization of 75717 in exponential form is:

75717 = 3² × 47¹ × 179¹

Step-3: Factors of 75712

List of positive integer factors of 75712 that divides 75712 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 64, 91, 104, 112, 169, 182, 208, 224, 338, 364, 416, 448, 676, 728, 832, 1183, 1352, 1456, 2366, 2704, 2912, 4732, 5408, 5824, 9464, 10816, 18928, 37856

Step-4: Factors of 75717

List of positive integer factors of 75717 that divides 75712 without a remainder.

1, 3, 9, 47, 141, 179, 423, 537, 1611, 8413, 25239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75712 and 75717. The biggest common factor number is the GCF number.
So the greatest common factor 75712 and 75717 is 1.

Also check out the Least Common Multiple of 75712 and 75717