What is the Greatest Common Factor of 77240 and 77248?

Greatest common factor (GCF) of 77240 and 77248 is 8.

GCF(77240,77248) = 8

We will now calculate the prime factors of 77240 and 77248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77240 and 77248.

How to find the GCF of 77240 and 77248?

We will first find the prime factorization of 77240 and 77248. After we will calculate the factors of 77240 and 77248 and find the biggest common factor number .

Step-1: Prime Factorization of 77240

Prime factors of 77240 are 2, 5, 1931. Prime factorization of 77240 in exponential form is:

77240 = 2³ × 5¹ × 1931¹

Step-2: 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-3: Factors of 77240

List of positive integer factors of 77240 that divides 77240 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1931, 3862, 7724, 9655, 15448, 19310, 38620

Step-4: Factors of 77248

List of positive integer factors of 77248 that divides 77240 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77240 and 77248. The biggest common factor number is the GCF number.
So the greatest common factor 77240 and 77248 is 8.

Also check out the Least Common Multiple of 77240 and 77248