What is the Greatest Common Factor of 77014 and 77020?

Greatest common factor (GCF) of 77014 and 77020 is 2.

GCF(77014,77020) = 2

We will now calculate the prime factors of 77014 and 77020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77014 and 77020.

How to find the GCF of 77014 and 77020?

We will first find the prime factorization of 77014 and 77020. After we will calculate the factors of 77014 and 77020 and find the biggest common factor number .

Step-1: Prime Factorization of 77014

Prime factors of 77014 are 2, 7, 5501. Prime factorization of 77014 in exponential form is:

77014 = 2¹ × 7¹ × 5501¹

Step-2: Prime Factorization of 77020

Prime factors of 77020 are 2, 5, 3851. Prime factorization of 77020 in exponential form is:

77020 = 2² × 5¹ × 3851¹

Step-3: Factors of 77014

List of positive integer factors of 77014 that divides 77014 without a remainder.

1, 2, 7, 14, 5501, 11002, 38507

Step-4: Factors of 77020

List of positive integer factors of 77020 that divides 77014 without a remainder.

1, 2, 4, 5, 10, 20, 3851, 7702, 15404, 19255, 38510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77014 and 77020. The biggest common factor number is the GCF number.
So the greatest common factor 77014 and 77020 is 2.

Also check out the Least Common Multiple of 77014 and 77020