What is the Greatest Common Factor of 75650 and 75670?

Greatest common factor (GCF) of 75650 and 75670 is 10.

GCF(75650,75670) = 10

We will now calculate the prime factors of 75650 and 75670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75650 and 75670.

How to find the GCF of 75650 and 75670?

We will first find the prime factorization of 75650 and 75670. After we will calculate the factors of 75650 and 75670 and find the biggest common factor number .

Step-1: Prime Factorization of 75650

Prime factors of 75650 are 2, 5, 17, 89. Prime factorization of 75650 in exponential form is:

75650 = 2¹ × 5² × 17¹ × 89¹

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 75650

List of positive integer factors of 75650 that divides 75650 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 89, 170, 178, 425, 445, 850, 890, 1513, 2225, 3026, 4450, 7565, 15130, 37825

Step-4: Factors of 75670

List of positive integer factors of 75670 that divides 75650 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 75650 and 75670. The biggest common factor number is the GCF number.
So the greatest common factor 75650 and 75670 is 10.

Also check out the Least Common Multiple of 75650 and 75670