What is the Greatest Common Factor of 77248 and 77260?

Greatest common factor (GCF) of 77248 and 77260 is 4.

GCF(77248,77260) = 4

We will now calculate the prime factors of 77248 and 77260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77248 and 77260.

How to find the GCF of 77248 and 77260?

We will first find the prime factorization of 77248 and 77260. After we will calculate the factors of 77248 and 77260 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 77260

Prime factors of 77260 are 2, 5, 3863. Prime factorization of 77260 in exponential form is:

77260 = 2² × 5¹ × 3863¹

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 77260

List of positive integer factors of 77260 that divides 77248 without a remainder.

1, 2, 4, 5, 10, 20, 3863, 7726, 15452, 19315, 38630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77248 and 77260. The biggest common factor number is the GCF number.
So the greatest common factor 77248 and 77260 is 4.

Also check out the Least Common Multiple of 77248 and 77260