What is the Greatest Common Factor of 77262 and 77275?

Greatest common factor (GCF) of 77262 and 77275 is 1.

GCF(77262,77275) = 1

We will now calculate the prime factors of 77262 and 77275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77262 and 77275.

How to find the GCF of 77262 and 77275?

We will first find the prime factorization of 77262 and 77275. After we will calculate the factors of 77262 and 77275 and find the biggest common factor number .

Step-1: Prime Factorization of 77262

Prime factors of 77262 are 2, 3, 79, 163. Prime factorization of 77262 in exponential form is:

77262 = 2¹ × 3¹ × 79¹ × 163¹

Step-2: Prime Factorization of 77275

Prime factors of 77275 are 5, 11, 281. Prime factorization of 77275 in exponential form is:

77275 = 5² × 11¹ × 281¹

Step-3: Factors of 77262

List of positive integer factors of 77262 that divides 77262 without a remainder.

1, 2, 3, 6, 79, 158, 163, 237, 326, 474, 489, 978, 12877, 25754, 38631

Step-4: Factors of 77275

List of positive integer factors of 77275 that divides 77262 without a remainder.

1, 5, 11, 25, 55, 275, 281, 1405, 3091, 7025, 15455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77262 and 77275. The biggest common factor number is the GCF number.
So the greatest common factor 77262 and 77275 is 1.

Also check out the Least Common Multiple of 77262 and 77275