What is the Greatest Common Factor of 76340 and 76352?

Greatest common factor (GCF) of 76340 and 76352 is 4.

GCF(76340,76352) = 4

We will now calculate the prime factors of 76340 and 76352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76340 and 76352.

How to find the GCF of 76340 and 76352?

We will first find the prime factorization of 76340 and 76352. After we will calculate the factors of 76340 and 76352 and find the biggest common factor number .

Step-1: Prime Factorization of 76340

Prime factors of 76340 are 2, 5, 11, 347. Prime factorization of 76340 in exponential form is:

76340 = 2² × 5¹ × 11¹ × 347¹

Step-2: Prime Factorization of 76352

Prime factors of 76352 are 2, 1193. Prime factorization of 76352 in exponential form is:

76352 = 2⁶ × 1193¹

Step-3: Factors of 76340

List of positive integer factors of 76340 that divides 76340 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 347, 694, 1388, 1735, 3470, 3817, 6940, 7634, 15268, 19085, 38170

Step-4: Factors of 76352

List of positive integer factors of 76352 that divides 76340 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1193, 2386, 4772, 9544, 19088, 38176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76340 and 76352. The biggest common factor number is the GCF number.
So the greatest common factor 76340 and 76352 is 4.

Also check out the Least Common Multiple of 76340 and 76352