What is the Greatest Common Factor of 77776 and 77794?

Greatest common factor (GCF) of 77776 and 77794 is 2.

GCF(77776,77794) = 2

We will now calculate the prime factors of 77776 and 77794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77776 and 77794.

How to find the GCF of 77776 and 77794?

We will first find the prime factorization of 77776 and 77794. After we will calculate the factors of 77776 and 77794 and find the biggest common factor number .

Step-1: Prime Factorization of 77776

Prime factors of 77776 are 2, 4861. Prime factorization of 77776 in exponential form is:

77776 = 2⁴ × 4861¹

Step-2: Prime Factorization of 77794

Prime factors of 77794 are 2, 97, 401. Prime factorization of 77794 in exponential form is:

77794 = 2¹ × 97¹ × 401¹

Step-3: Factors of 77776

List of positive integer factors of 77776 that divides 77776 without a remainder.

1, 2, 4, 8, 16, 4861, 9722, 19444, 38888

Step-4: Factors of 77794

List of positive integer factors of 77794 that divides 77776 without a remainder.

1, 2, 97, 194, 401, 802, 38897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77776 and 77794. The biggest common factor number is the GCF number.
So the greatest common factor 77776 and 77794 is 2.

Also check out the Least Common Multiple of 77776 and 77794