What is the Greatest Common Factor of 94220 and 94235?

Greatest common factor (GCF) of 94220 and 94235 is 5.

GCF(94220,94235) = 5

We will now calculate the prime factors of 94220 and 94235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94220 and 94235.

How to find the GCF of 94220 and 94235?

We will first find the prime factorization of 94220 and 94235. After we will calculate the factors of 94220 and 94235 and find the biggest common factor number .

Step-1: Prime Factorization of 94220

Prime factors of 94220 are 2, 5, 7, 673. Prime factorization of 94220 in exponential form is:

94220 = 2² × 5¹ × 7¹ × 673¹

Step-2: Prime Factorization of 94235

Prime factors of 94235 are 5, 47, 401. Prime factorization of 94235 in exponential form is:

94235 = 5¹ × 47¹ × 401¹

Step-3: Factors of 94220

List of positive integer factors of 94220 that divides 94220 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 673, 1346, 2692, 3365, 4711, 6730, 9422, 13460, 18844, 23555, 47110

Step-4: Factors of 94235

List of positive integer factors of 94235 that divides 94220 without a remainder.

1, 5, 47, 235, 401, 2005, 18847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94220 and 94235. The biggest common factor number is the GCF number.
So the greatest common factor 94220 and 94235 is 5.

Also check out the Least Common Multiple of 94220 and 94235