What is the Greatest Common Factor of 78758 and 78776?

Greatest common factor (GCF) of 78758 and 78776 is 2.

GCF(78758,78776) = 2

We will now calculate the prime factors of 78758 and 78776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78758 and 78776.

How to find the GCF of 78758 and 78776?

We will first find the prime factorization of 78758 and 78776. After we will calculate the factors of 78758 and 78776 and find the biggest common factor number .

Step-1: Prime Factorization of 78758

Prime factors of 78758 are 2, 53, 743. Prime factorization of 78758 in exponential form is:

78758 = 2¹ × 53¹ × 743¹

Step-2: Prime Factorization of 78776

Prime factors of 78776 are 2, 43, 229. Prime factorization of 78776 in exponential form is:

78776 = 2³ × 43¹ × 229¹

Step-3: Factors of 78758

List of positive integer factors of 78758 that divides 78758 without a remainder.

1, 2, 53, 106, 743, 1486, 39379

Step-4: Factors of 78776

List of positive integer factors of 78776 that divides 78758 without a remainder.

1, 2, 4, 8, 43, 86, 172, 229, 344, 458, 916, 1832, 9847, 19694, 39388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78758 and 78776. The biggest common factor number is the GCF number.
So the greatest common factor 78758 and 78776 is 2.

Also check out the Least Common Multiple of 78758 and 78776