What is the Greatest Common Factor of 77210 and 77229?

Greatest common factor (GCF) of 77210 and 77229 is 1.

GCF(77210,77229) = 1

We will now calculate the prime factors of 77210 and 77229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77210 and 77229.

How to find the GCF of 77210 and 77229?

We will first find the prime factorization of 77210 and 77229. After we will calculate the factors of 77210 and 77229 and find the biggest common factor number .

Step-1: Prime Factorization of 77210

Prime factors of 77210 are 2, 5, 7, 1103. Prime factorization of 77210 in exponential form is:

77210 = 2¹ × 5¹ × 7¹ × 1103¹

Step-2: Prime Factorization of 77229

Prime factors of 77229 are 3, 8581. Prime factorization of 77229 in exponential form is:

77229 = 3² × 8581¹

Step-3: Factors of 77210

List of positive integer factors of 77210 that divides 77210 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1103, 2206, 5515, 7721, 11030, 15442, 38605

Step-4: Factors of 77229

List of positive integer factors of 77229 that divides 77210 without a remainder.

1, 3, 9, 8581, 25743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77210 and 77229. The biggest common factor number is the GCF number.
So the greatest common factor 77210 and 77229 is 1.

Also check out the Least Common Multiple of 77210 and 77229