What is the Greatest Common Factor of 78526 and 78532?

Greatest common factor (GCF) of 78526 and 78532 is 2.

GCF(78526,78532) = 2

We will now calculate the prime factors of 78526 and 78532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78526 and 78532.

How to find the GCF of 78526 and 78532?

We will first find the prime factorization of 78526 and 78532. After we will calculate the factors of 78526 and 78532 and find the biggest common factor number .

Step-1: Prime Factorization of 78526

Prime factors of 78526 are 2, 7, 71, 79. Prime factorization of 78526 in exponential form is:

78526 = 2¹ × 7¹ × 71¹ × 79¹

Step-2: Prime Factorization of 78532

Prime factors of 78532 are 2, 29, 677. Prime factorization of 78532 in exponential form is:

78532 = 2² × 29¹ × 677¹

Step-3: Factors of 78526

List of positive integer factors of 78526 that divides 78526 without a remainder.

1, 2, 7, 14, 71, 79, 142, 158, 497, 553, 994, 1106, 5609, 11218, 39263

Step-4: Factors of 78532

List of positive integer factors of 78532 that divides 78526 without a remainder.

1, 2, 4, 29, 58, 116, 677, 1354, 2708, 19633, 39266

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78526 and 78532. The biggest common factor number is the GCF number.
So the greatest common factor 78526 and 78532 is 2.

Also check out the Least Common Multiple of 78526 and 78532