What is the Greatest Common Factor of 76538 and 76554?

Greatest common factor (GCF) of 76538 and 76554 is 2.

GCF(76538,76554) = 2

We will now calculate the prime factors of 76538 and 76554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76538 and 76554.

How to find the GCF of 76538 and 76554?

We will first find the prime factorization of 76538 and 76554. After we will calculate the factors of 76538 and 76554 and find the biggest common factor number .

Step-1: Prime Factorization of 76538

Prime factors of 76538 are 2, 7, 11, 71. Prime factorization of 76538 in exponential form is:

76538 = 2¹ × 7² × 11¹ × 71¹

Step-2: Prime Factorization of 76554

Prime factors of 76554 are 2, 3, 4253. Prime factorization of 76554 in exponential form is:

76554 = 2¹ × 3² × 4253¹

Step-3: Factors of 76538

List of positive integer factors of 76538 that divides 76538 without a remainder.

1, 2, 7, 11, 14, 22, 49, 71, 77, 98, 142, 154, 497, 539, 781, 994, 1078, 1562, 3479, 5467, 6958, 10934, 38269

Step-4: Factors of 76554

List of positive integer factors of 76554 that divides 76538 without a remainder.

1, 2, 3, 6, 9, 18, 4253, 8506, 12759, 25518, 38277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76538 and 76554. The biggest common factor number is the GCF number.
So the greatest common factor 76538 and 76554 is 2.

Also check out the Least Common Multiple of 76538 and 76554