What is the Greatest Common Factor of 50776 and 50787?

Greatest common factor (GCF) of 50776 and 50787 is 11.

GCF(50776,50787) = 11

We will now calculate the prime factors of 50776 and 50787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50776 and 50787.

How to find the GCF of 50776 and 50787?

We will first find the prime factorization of 50776 and 50787. After we will calculate the factors of 50776 and 50787 and find the biggest common factor number .

Step-1: Prime Factorization of 50776

Prime factors of 50776 are 2, 11, 577. Prime factorization of 50776 in exponential form is:

50776 = 2³ × 11¹ × 577¹

Step-2: Prime Factorization of 50787

Prime factors of 50787 are 3, 11, 19. Prime factorization of 50787 in exponential form is:

50787 = 3⁵ × 11¹ × 19¹

Step-3: Factors of 50776

List of positive integer factors of 50776 that divides 50776 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 577, 1154, 2308, 4616, 6347, 12694, 25388

Step-4: Factors of 50787

List of positive integer factors of 50787 that divides 50776 without a remainder.

1, 3, 9, 11, 19, 27, 33, 57, 81, 99, 171, 209, 243, 297, 513, 627, 891, 1539, 1881, 2673, 4617, 5643, 16929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50776 and 50787. The biggest common factor number is the GCF number.
So the greatest common factor 50776 and 50787 is 11.

Also check out the Least Common Multiple of 50776 and 50787