What is the Greatest Common Factor of 94220 and 94234?

Greatest common factor (GCF) of 94220 and 94234 is 14.

GCF(94220,94234) = 14

We will now calculate the prime factors of 94220 and 94234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94220 and 94234.

How to find the GCF of 94220 and 94234?

We will first find the prime factorization of 94220 and 94234. After we will calculate the factors of 94220 and 94234 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 94234

Prime factors of 94234 are 2, 7, 53, 127. Prime factorization of 94234 in exponential form is:

94234 = 2¹ × 7¹ × 53¹ × 127¹

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 94234

List of positive integer factors of 94234 that divides 94220 without a remainder.

1, 2, 7, 14, 53, 106, 127, 254, 371, 742, 889, 1778, 6731, 13462, 47117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94220 and 94234. The biggest common factor number is the GCF number.
So the greatest common factor 94220 and 94234 is 14.

Also check out the Least Common Multiple of 94220 and 94234