What is the Greatest Common Factor of 75056 and 75066?

Greatest common factor (GCF) of 75056 and 75066 is 2.

GCF(75056,75066) = 2

We will now calculate the prime factors of 75056 and 75066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75056 and 75066.

How to find the GCF of 75056 and 75066?

We will first find the prime factorization of 75056 and 75066. After we will calculate the factors of 75056 and 75066 and find the biggest common factor number .

Step-1: Prime Factorization of 75056

Prime factors of 75056 are 2, 4691. Prime factorization of 75056 in exponential form is:

75056 = 2⁴ × 4691¹

Step-2: Prime Factorization of 75066

Prime factors of 75066 are 2, 3, 12511. Prime factorization of 75066 in exponential form is:

75066 = 2¹ × 3¹ × 12511¹

Step-3: Factors of 75056

List of positive integer factors of 75056 that divides 75056 without a remainder.

1, 2, 4, 8, 16, 4691, 9382, 18764, 37528

Step-4: Factors of 75066

List of positive integer factors of 75066 that divides 75056 without a remainder.

1, 2, 3, 6, 12511, 25022, 37533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75056 and 75066. The biggest common factor number is the GCF number.
So the greatest common factor 75056 and 75066 is 2.

Also check out the Least Common Multiple of 75056 and 75066