What is the Greatest Common Factor of 56692 and 56696?

Greatest common factor (GCF) of 56692 and 56696 is 4.

GCF(56692,56696) = 4

We will now calculate the prime factors of 56692 and 56696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56692 and 56696.

How to find the GCF of 56692 and 56696?

We will first find the prime factorization of 56692 and 56696. After we will calculate the factors of 56692 and 56696 and find the biggest common factor number .

Step-1: Prime Factorization of 56692

Prime factors of 56692 are 2, 14173. Prime factorization of 56692 in exponential form is:

56692 = 2² × 14173¹

Step-2: Prime Factorization of 56696

Prime factors of 56696 are 2, 19, 373. Prime factorization of 56696 in exponential form is:

56696 = 2³ × 19¹ × 373¹

Step-3: Factors of 56692

List of positive integer factors of 56692 that divides 56692 without a remainder.

1, 2, 4, 14173, 28346

Step-4: Factors of 56696

List of positive integer factors of 56696 that divides 56692 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 373, 746, 1492, 2984, 7087, 14174, 28348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56692 and 56696. The biggest common factor number is the GCF number.
So the greatest common factor 56692 and 56696 is 4.

Also check out the Least Common Multiple of 56692 and 56696