What is the Greatest Common Factor of 77209 and 77224?

Greatest common factor (GCF) of 77209 and 77224 is 1.

GCF(77209,77224) = 1

We will now calculate the prime factors of 77209 and 77224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77209 and 77224.

How to find the GCF of 77209 and 77224?

We will first find the prime factorization of 77209 and 77224. After we will calculate the factors of 77209 and 77224 and find the biggest common factor number .

Step-1: Prime Factorization of 77209

Prime factors of 77209 are 11, 7019. Prime factorization of 77209 in exponential form is:

77209 = 11¹ × 7019¹

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 77209

List of positive integer factors of 77209 that divides 77209 without a remainder.

1, 11, 7019

Step-4: Factors of 77224

List of positive integer factors of 77224 that divides 77209 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 77209 and 77224. The biggest common factor number is the GCF number.
So the greatest common factor 77209 and 77224 is 1.

Also check out the Least Common Multiple of 77209 and 77224