What is the Greatest Common Factor of 7100 and 7114?

Greatest common factor (GCF) of 7100 and 7114 is 2.

GCF(7100,7114) = 2

We will now calculate the prime factors of 7100 and 7114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7100 and 7114.

How to find the GCF of 7100 and 7114?

We will first find the prime factorization of 7100 and 7114. After we will calculate the factors of 7100 and 7114 and find the biggest common factor number .

Step-1: Prime Factorization of 7100

Prime factors of 7100 are 2, 5, 71. Prime factorization of 7100 in exponential form is:

7100 = 2² × 5² × 71¹

Step-2: Prime Factorization of 7114

Prime factors of 7114 are 2, 3557. Prime factorization of 7114 in exponential form is:

7114 = 2¹ × 3557¹

Step-3: Factors of 7100

List of positive integer factors of 7100 that divides 7100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 71, 100, 142, 284, 355, 710, 1420, 1775, 3550

Step-4: Factors of 7114

List of positive integer factors of 7114 that divides 7100 without a remainder.

1, 2, 3557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7100 and 7114. The biggest common factor number is the GCF number.
So the greatest common factor 7100 and 7114 is 2.

Also check out the Least Common Multiple of 7100 and 7114