What is the Greatest Common Factor of 692 and 700?

Greatest common factor (GCF) of 692 and 700 is 4.

GCF(692,700) = 4

We will now calculate the prime factors of 692 and 700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 692 and 700.

How to find the GCF of 692 and 700?

We will first find the prime factorization of 692 and 700. After we will calculate the factors of 692 and 700 and find the biggest common factor number .

Step-1: Prime Factorization of 692

Prime factors of 692 are 2, 173. Prime factorization of 692 in exponential form is:

692 = 2² × 173¹

Step-2: Prime Factorization of 700

Prime factors of 700 are 2, 5, 7. Prime factorization of 700 in exponential form is:

700 = 2² × 5² × 7¹

Step-3: Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346

Step-4: Factors of 700

List of positive integer factors of 700 that divides 692 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 692 and 700. The biggest common factor number is the GCF number.
So the greatest common factor 692 and 700 is 4.

Also check out the Least Common Multiple of 692 and 700