What is the Greatest Common Factor of 94945 and 94960?

Greatest common factor (GCF) of 94945 and 94960 is 5.

GCF(94945,94960) = 5

We will now calculate the prime factors of 94945 and 94960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94945 and 94960.

How to find the GCF of 94945 and 94960?

We will first find the prime factorization of 94945 and 94960. After we will calculate the factors of 94945 and 94960 and find the biggest common factor number .

Step-1: Prime Factorization of 94945

Prime factors of 94945 are 5, 17, 1117. Prime factorization of 94945 in exponential form is:

94945 = 5¹ × 17¹ × 1117¹

Step-2: Prime Factorization of 94960

Prime factors of 94960 are 2, 5, 1187. Prime factorization of 94960 in exponential form is:

94960 = 2⁴ × 5¹ × 1187¹

Step-3: Factors of 94945

List of positive integer factors of 94945 that divides 94945 without a remainder.

1, 5, 17, 85, 1117, 5585, 18989

Step-4: Factors of 94960

List of positive integer factors of 94960 that divides 94945 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1187, 2374, 4748, 5935, 9496, 11870, 18992, 23740, 47480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94945 and 94960. The biggest common factor number is the GCF number.
So the greatest common factor 94945 and 94960 is 5.

Also check out the Least Common Multiple of 94945 and 94960