What is the Greatest Common Factor of 76526 and 76538?

Greatest common factor (GCF) of 76526 and 76538 is 2.

GCF(76526,76538) = 2

We will now calculate the prime factors of 76526 and 76538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76526 and 76538.

How to find the GCF of 76526 and 76538?

We will first find the prime factorization of 76526 and 76538. After we will calculate the factors of 76526 and 76538 and find the biggest common factor number .

Step-1: Prime Factorization of 76526

Prime factors of 76526 are 2, 83, 461. Prime factorization of 76526 in exponential form is:

76526 = 2¹ × 83¹ × 461¹

Step-2: 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-3: Factors of 76526

List of positive integer factors of 76526 that divides 76526 without a remainder.

1, 2, 83, 166, 461, 922, 38263

Step-4: Factors of 76538

List of positive integer factors of 76538 that divides 76526 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76526 and 76538. The biggest common factor number is the GCF number.
So the greatest common factor 76526 and 76538 is 2.

Also check out the Least Common Multiple of 76526 and 76538