What is the Greatest Common Factor of 77282 and 77299?

Greatest common factor (GCF) of 77282 and 77299 is 17.

GCF(77282,77299) = 17

We will now calculate the prime factors of 77282 and 77299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77282 and 77299.

How to find the GCF of 77282 and 77299?

We will first find the prime factorization of 77282 and 77299. After we will calculate the factors of 77282 and 77299 and find the biggest common factor number .

Step-1: Prime Factorization of 77282

Prime factors of 77282 are 2, 17, 2273. Prime factorization of 77282 in exponential form is:

77282 = 2¹ × 17¹ × 2273¹

Step-2: Prime Factorization of 77299

Prime factors of 77299 are 17, 4547. Prime factorization of 77299 in exponential form is:

77299 = 17¹ × 4547¹

Step-3: Factors of 77282

List of positive integer factors of 77282 that divides 77282 without a remainder.

1, 2, 17, 34, 2273, 4546, 38641

Step-4: Factors of 77299

List of positive integer factors of 77299 that divides 77282 without a remainder.

1, 17, 4547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77282 and 77299. The biggest common factor number is the GCF number.
So the greatest common factor 77282 and 77299 is 17.

Also check out the Least Common Multiple of 77282 and 77299