What is the Greatest Common Factor of 77210 and 77214?

Greatest common factor (GCF) of 77210 and 77214 is 2.

GCF(77210,77214) = 2

We will now calculate the prime factors of 77210 and 77214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77210 and 77214.

How to find the GCF of 77210 and 77214?

We will first find the prime factorization of 77210 and 77214. After we will calculate the factors of 77210 and 77214 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 77214

Prime factors of 77214 are 2, 3, 17, 757. Prime factorization of 77214 in exponential form is:

77214 = 2¹ × 3¹ × 17¹ × 757¹

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 77214

List of positive integer factors of 77214 that divides 77210 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 757, 1514, 2271, 4542, 12869, 25738, 38607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77210 and 77214. The biggest common factor number is the GCF number.
So the greatest common factor 77210 and 77214 is 2.

Also check out the Least Common Multiple of 77210 and 77214