What is the Greatest Common Factor of 4526 and 4534?

Greatest common factor (GCF) of 4526 and 4534 is 2.

GCF(4526,4534) = 2

We will now calculate the prime factors of 4526 and 4534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4526 and 4534.

How to find the GCF of 4526 and 4534?

We will first find the prime factorization of 4526 and 4534. After we will calculate the factors of 4526 and 4534 and find the biggest common factor number .

Step-1: Prime Factorization of 4526

Prime factors of 4526 are 2, 31, 73. Prime factorization of 4526 in exponential form is:

4526 = 2¹ × 31¹ × 73¹

Step-2: Prime Factorization of 4534

Prime factors of 4534 are 2, 2267. Prime factorization of 4534 in exponential form is:

4534 = 2¹ × 2267¹

Step-3: Factors of 4526

List of positive integer factors of 4526 that divides 4526 without a remainder.

1, 2, 31, 62, 73, 146, 2263

Step-4: Factors of 4534

List of positive integer factors of 4534 that divides 4526 without a remainder.

1, 2, 2267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4526 and 4534. The biggest common factor number is the GCF number.
So the greatest common factor 4526 and 4534 is 2.

Also check out the Least Common Multiple of 4526 and 4534