What is the Greatest Common Factor of 75712 and 75718?

Greatest common factor (GCF) of 75712 and 75718 is 2.

GCF(75712,75718) = 2

We will now calculate the prime factors of 75712 and 75718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75712 and 75718.

How to find the GCF of 75712 and 75718?

We will first find the prime factorization of 75712 and 75718. After we will calculate the factors of 75712 and 75718 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 75718

Prime factors of 75718 are 2, 17, 131. Prime factorization of 75718 in exponential form is:

75718 = 2¹ × 17² × 131¹

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 75718

List of positive integer factors of 75718 that divides 75712 without a remainder.

1, 2, 17, 34, 131, 262, 289, 578, 2227, 4454, 37859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75712 and 75718. The biggest common factor number is the GCF number.
So the greatest common factor 75712 and 75718 is 2.

Also check out the Least Common Multiple of 75712 and 75718