What is the Greatest Common Factor of 77204 and 77224?

Greatest common factor (GCF) of 77204 and 77224 is 4.

GCF(77204,77224) = 4

We will now calculate the prime factors of 77204 and 77224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77204 and 77224.

How to find the GCF of 77204 and 77224?

We will first find the prime factorization of 77204 and 77224. After we will calculate the factors of 77204 and 77224 and find the biggest common factor number .

Step-1: Prime Factorization of 77204

Prime factors of 77204 are 2, 19301. Prime factorization of 77204 in exponential form is:

77204 = 2² × 19301¹

Step-2: Prime Factorization of 77224

Prime factors of 77224 are 2, 7, 197. Prime factorization of 77224 in exponential form is:

77224 = 2³ × 7² × 197¹

Step-3: Factors of 77204

List of positive integer factors of 77204 that divides 77204 without a remainder.

1, 2, 4, 19301, 38602

Step-4: Factors of 77224

List of positive integer factors of 77224 that divides 77204 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 197, 392, 394, 788, 1379, 1576, 2758, 5516, 9653, 11032, 19306, 38612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77204 and 77224. The biggest common factor number is the GCF number.
So the greatest common factor 77204 and 77224 is 4.

Also check out the Least Common Multiple of 77204 and 77224