What is the Greatest Common Factor of 77526 and 77534?

Greatest common factor (GCF) of 77526 and 77534 is 2.

GCF(77526,77534) = 2

We will now calculate the prime factors of 77526 and 77534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77526 and 77534.

How to find the GCF of 77526 and 77534?

We will first find the prime factorization of 77526 and 77534. After we will calculate the factors of 77526 and 77534 and find the biggest common factor number .

Step-1: Prime Factorization of 77526

Prime factors of 77526 are 2, 3, 59, 73. Prime factorization of 77526 in exponential form is:

77526 = 2¹ × 3² × 59¹ × 73¹

Step-2: Prime Factorization of 77534

Prime factors of 77534 are 2, 38767. Prime factorization of 77534 in exponential form is:

77534 = 2¹ × 38767¹

Step-3: Factors of 77526

List of positive integer factors of 77526 that divides 77526 without a remainder.

1, 2, 3, 6, 9, 18, 59, 73, 118, 146, 177, 219, 354, 438, 531, 657, 1062, 1314, 4307, 8614, 12921, 25842, 38763

Step-4: Factors of 77534

List of positive integer factors of 77534 that divides 77526 without a remainder.

1, 2, 38767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77526 and 77534. The biggest common factor number is the GCF number.
So the greatest common factor 77526 and 77534 is 2.

Also check out the Least Common Multiple of 77526 and 77534