What is the Greatest Common Factor of 72776 and 72782?

Greatest common factor (GCF) of 72776 and 72782 is 2.

GCF(72776,72782) = 2

We will now calculate the prime factors of 72776 and 72782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72776 and 72782.

How to find the GCF of 72776 and 72782?

We will first find the prime factorization of 72776 and 72782. After we will calculate the factors of 72776 and 72782 and find the biggest common factor number .

Step-1: Prime Factorization of 72776

Prime factors of 72776 are 2, 11, 827. Prime factorization of 72776 in exponential form is:

72776 = 2³ × 11¹ × 827¹

Step-2: Prime Factorization of 72782

Prime factors of 72782 are 2, 151, 241. Prime factorization of 72782 in exponential form is:

72782 = 2¹ × 151¹ × 241¹

Step-3: Factors of 72776

List of positive integer factors of 72776 that divides 72776 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 827, 1654, 3308, 6616, 9097, 18194, 36388

Step-4: Factors of 72782

List of positive integer factors of 72782 that divides 72776 without a remainder.

1, 2, 151, 241, 302, 482, 36391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72776 and 72782. The biggest common factor number is the GCF number.
So the greatest common factor 72776 and 72782 is 2.

Also check out the Least Common Multiple of 72776 and 72782