What is the Greatest Common Factor of 75056 and 75070?

Greatest common factor (GCF) of 75056 and 75070 is 2.

GCF(75056,75070) = 2

We will now calculate the prime factors of 75056 and 75070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75056 and 75070.

How to find the GCF of 75056 and 75070?

We will first find the prime factorization of 75056 and 75070. After we will calculate the factors of 75056 and 75070 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 75070

Prime factors of 75070 are 2, 5, 7507. Prime factorization of 75070 in exponential form is:

75070 = 2¹ × 5¹ × 7507¹

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 75070

List of positive integer factors of 75070 that divides 75056 without a remainder.

1, 2, 5, 10, 7507, 15014, 37535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75056 and 75070. The biggest common factor number is the GCF number.
So the greatest common factor 75056 and 75070 is 2.

Also check out the Least Common Multiple of 75056 and 75070