What is the Greatest Common Factor of 76538 and 76555?

Greatest common factor (GCF) of 76538 and 76555 is 1.

GCF(76538,76555) = 1

We will now calculate the prime factors of 76538 and 76555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76538 and 76555.

How to find the GCF of 76538 and 76555?

We will first find the prime factorization of 76538 and 76555. After we will calculate the factors of 76538 and 76555 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 76555

Prime factors of 76555 are 5, 61, 251. Prime factorization of 76555 in exponential form is:

76555 = 5¹ × 61¹ × 251¹

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 76555

List of positive integer factors of 76555 that divides 76538 without a remainder.

1, 5, 61, 251, 305, 1255, 15311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76538 and 76555. The biggest common factor number is the GCF number.
So the greatest common factor 76538 and 76555 is 1.

Also check out the Least Common Multiple of 76538 and 76555