What is the Greatest Common Factor of 76512 and 76526?

Greatest common factor (GCF) of 76512 and 76526 is 2.

GCF(76512,76526) = 2

We will now calculate the prime factors of 76512 and 76526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76512 and 76526.

How to find the GCF of 76512 and 76526?

We will first find the prime factorization of 76512 and 76526. After we will calculate the factors of 76512 and 76526 and find the biggest common factor number .

Step-1: Prime Factorization of 76512

Prime factors of 76512 are 2, 3, 797. Prime factorization of 76512 in exponential form is:

76512 = 2⁵ × 3¹ × 797¹

Step-2: 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-3: Factors of 76512

List of positive integer factors of 76512 that divides 76512 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 797, 1594, 2391, 3188, 4782, 6376, 9564, 12752, 19128, 25504, 38256

Step-4: Factors of 76526

List of positive integer factors of 76526 that divides 76512 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76512 and 76526. The biggest common factor number is the GCF number.
So the greatest common factor 76512 and 76526 is 2.

Also check out the Least Common Multiple of 76512 and 76526