What is the Greatest Common Factor of 77248 and 77265?

Greatest common factor (GCF) of 77248 and 77265 is 17.

GCF(77248,77265) = 17

We will now calculate the prime factors of 77248 and 77265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77248 and 77265.

How to find the GCF of 77248 and 77265?

We will first find the prime factorization of 77248 and 77265. After we will calculate the factors of 77248 and 77265 and find the biggest common factor number .

Step-1: Prime Factorization of 77248

Prime factors of 77248 are 2, 17, 71. Prime factorization of 77248 in exponential form is:

77248 = 2⁶ × 17¹ × 71¹

Step-2: Prime Factorization of 77265

Prime factors of 77265 are 3, 5, 17, 101. Prime factorization of 77265 in exponential form is:

77265 = 3² × 5¹ × 17¹ × 101¹

Step-3: Factors of 77248

List of positive integer factors of 77248 that divides 77248 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 71, 136, 142, 272, 284, 544, 568, 1088, 1136, 1207, 2272, 2414, 4544, 4828, 9656, 19312, 38624

Step-4: Factors of 77265

List of positive integer factors of 77265 that divides 77248 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 101, 153, 255, 303, 505, 765, 909, 1515, 1717, 4545, 5151, 8585, 15453, 25755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77248 and 77265. The biggest common factor number is the GCF number.
So the greatest common factor 77248 and 77265 is 17.

Also check out the Least Common Multiple of 77248 and 77265