What is the Greatest Common Factor of 75656 and 75670?

Greatest common factor (GCF) of 75656 and 75670 is 14.

GCF(75656,75670) = 14

We will now calculate the prime factors of 75656 and 75670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75656 and 75670.

How to find the GCF of 75656 and 75670?

We will first find the prime factorization of 75656 and 75670. After we will calculate the factors of 75656 and 75670 and find the biggest common factor number .

Step-1: Prime Factorization of 75656

Prime factors of 75656 are 2, 7, 193. Prime factorization of 75656 in exponential form is:

75656 = 2³ × 7² × 193¹

Step-2: 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-3: Factors of 75656

List of positive integer factors of 75656 that divides 75656 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 193, 196, 386, 392, 772, 1351, 1544, 2702, 5404, 9457, 10808, 18914, 37828

Step-4: Factors of 75670

List of positive integer factors of 75670 that divides 75656 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75656 and 75670. The biggest common factor number is the GCF number.
So the greatest common factor 75656 and 75670 is 14.

Also check out the Least Common Multiple of 75656 and 75670