What is the Greatest Common Factor of 77292 and 77308?

Greatest common factor (GCF) of 77292 and 77308 is 4.

GCF(77292,77308) = 4

We will now calculate the prime factors of 77292 and 77308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77292 and 77308.

How to find the GCF of 77292 and 77308?

We will first find the prime factorization of 77292 and 77308. After we will calculate the factors of 77292 and 77308 and find the biggest common factor number .

Step-1: Prime Factorization of 77292

Prime factors of 77292 are 2, 3, 19, 113. Prime factorization of 77292 in exponential form is:

77292 = 2² × 3² × 19¹ × 113¹

Step-2: Prime Factorization of 77308

Prime factors of 77308 are 2, 7, 11, 251. Prime factorization of 77308 in exponential form is:

77308 = 2² × 7¹ × 11¹ × 251¹

Step-3: Factors of 77292

List of positive integer factors of 77292 that divides 77292 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 113, 114, 171, 226, 228, 339, 342, 452, 678, 684, 1017, 1356, 2034, 2147, 4068, 4294, 6441, 8588, 12882, 19323, 25764, 38646

Step-4: Factors of 77308

List of positive integer factors of 77308 that divides 77292 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 251, 308, 502, 1004, 1757, 2761, 3514, 5522, 7028, 11044, 19327, 38654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77292 and 77308. The biggest common factor number is the GCF number.
So the greatest common factor 77292 and 77308 is 4.

Also check out the Least Common Multiple of 77292 and 77308