What is the Greatest Common Factor of 61796 and 61804?

Greatest common factor (GCF) of 61796 and 61804 is 4.

GCF(61796,61804) = 4

We will now calculate the prime factors of 61796 and 61804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61796 and 61804.

How to find the GCF of 61796 and 61804?

We will first find the prime factorization of 61796 and 61804. After we will calculate the factors of 61796 and 61804 and find the biggest common factor number .

Step-1: Prime Factorization of 61796

Prime factors of 61796 are 2, 7, 2207. Prime factorization of 61796 in exponential form is:

61796 = 2² × 7¹ × 2207¹

Step-2: Prime Factorization of 61804

Prime factors of 61804 are 2, 15451. Prime factorization of 61804 in exponential form is:

61804 = 2² × 15451¹

Step-3: Factors of 61796

List of positive integer factors of 61796 that divides 61796 without a remainder.

1, 2, 4, 7, 14, 28, 2207, 4414, 8828, 15449, 30898

Step-4: Factors of 61804

List of positive integer factors of 61804 that divides 61796 without a remainder.

1, 2, 4, 15451, 30902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61796 and 61804. The biggest common factor number is the GCF number.
So the greatest common factor 61796 and 61804 is 4.

Also check out the Least Common Multiple of 61796 and 61804