What is the Greatest Common Factor of 77626 and 77632?

Greatest common factor (GCF) of 77626 and 77632 is 2.

GCF(77626,77632) = 2

We will now calculate the prime factors of 77626 and 77632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77626 and 77632.

How to find the GCF of 77626 and 77632?

We will first find the prime factorization of 77626 and 77632. After we will calculate the factors of 77626 and 77632 and find the biggest common factor number .

Step-1: Prime Factorization of 77626

Prime factors of 77626 are 2, 37, 1049. Prime factorization of 77626 in exponential form is:

77626 = 2¹ × 37¹ × 1049¹

Step-2: Prime Factorization of 77632

Prime factors of 77632 are 2, 1213. Prime factorization of 77632 in exponential form is:

77632 = 2⁶ × 1213¹

Step-3: Factors of 77626

List of positive integer factors of 77626 that divides 77626 without a remainder.

1, 2, 37, 74, 1049, 2098, 38813

Step-4: Factors of 77632

List of positive integer factors of 77632 that divides 77626 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1213, 2426, 4852, 9704, 19408, 38816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77626 and 77632. The biggest common factor number is the GCF number.
So the greatest common factor 77626 and 77632 is 2.

Also check out the Least Common Multiple of 77626 and 77632