What is the Greatest Common Factor of 77232 and 77251?

Greatest common factor (GCF) of 77232 and 77251 is 1.

GCF(77232,77251) = 1

We will now calculate the prime factors of 77232 and 77251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77232 and 77251.

How to find the GCF of 77232 and 77251?

We will first find the prime factorization of 77232 and 77251. After we will calculate the factors of 77232 and 77251 and find the biggest common factor number .

Step-1: Prime Factorization of 77232

Prime factors of 77232 are 2, 3, 1609. Prime factorization of 77232 in exponential form is:

77232 = 2⁴ × 3¹ × 1609¹

Step-2: Prime Factorization of 77251

Prime factors of 77251 are 67, 1153. Prime factorization of 77251 in exponential form is:

77251 = 67¹ × 1153¹

Step-3: Factors of 77232

List of positive integer factors of 77232 that divides 77232 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1609, 3218, 4827, 6436, 9654, 12872, 19308, 25744, 38616

Step-4: Factors of 77251

List of positive integer factors of 77251 that divides 77232 without a remainder.

1, 67, 1153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77232 and 77251. The biggest common factor number is the GCF number.
So the greatest common factor 77232 and 77251 is 1.

Also check out the Least Common Multiple of 77232 and 77251