What is the Greatest Common Factor of 77614 and 77632?

Greatest common factor (GCF) of 77614 and 77632 is 2.

GCF(77614,77632) = 2

We will now calculate the prime factors of 77614 and 77632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77614 and 77632.

How to find the GCF of 77614 and 77632?

We will first find the prime factorization of 77614 and 77632. After we will calculate the factors of 77614 and 77632 and find the biggest common factor number .

Step-1: Prime Factorization of 77614

Prime factors of 77614 are 2, 151, 257. Prime factorization of 77614 in exponential form is:

77614 = 2¹ × 151¹ × 257¹

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 77614

List of positive integer factors of 77614 that divides 77614 without a remainder.

1, 2, 151, 257, 302, 514, 38807

Step-4: Factors of 77632

List of positive integer factors of 77632 that divides 77614 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 77614 and 77632. The biggest common factor number is the GCF number.
So the greatest common factor 77614 and 77632 is 2.

Also check out the Least Common Multiple of 77614 and 77632