What is the Greatest Common Factor of 75670 and 75688?

Greatest common factor (GCF) of 75670 and 75688 is 2.

GCF(75670,75688) = 2

We will now calculate the prime factors of 75670 and 75688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75670 and 75688.

How to find the GCF of 75670 and 75688?

We will first find the prime factorization of 75670 and 75688. After we will calculate the factors of 75670 and 75688 and find the biggest common factor number .

Step-1: Prime Factorization of 75670

Prime factors of 75670 are 2, 5, 7, 23, 47. Prime factorization of 75670 in exponential form is:

75670 = 2¹ × 5¹ × 7¹ × 23¹ × 47¹

Step-2: Prime Factorization of 75688

Prime factors of 75688 are 2, 9461. Prime factorization of 75688 in exponential form is:

75688 = 2³ × 9461¹

Step-3: Factors of 75670

List of positive integer factors of 75670 that divides 75670 without a remainder.

1, 2, 5, 7, 10, 14, 23, 35, 46, 47, 70, 94, 115, 161, 230, 235, 322, 329, 470, 658, 805, 1081, 1610, 1645, 2162, 3290, 5405, 7567, 10810, 15134, 37835

Step-4: Factors of 75688

List of positive integer factors of 75688 that divides 75670 without a remainder.

1, 2, 4, 8, 9461, 18922, 37844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75670 and 75688. The biggest common factor number is the GCF number.
So the greatest common factor 75670 and 75688 is 2.

Also check out the Least Common Multiple of 75670 and 75688