What is the Greatest Common Factor of 53825 and 53844?

Greatest common factor (GCF) of 53825 and 53844 is 1.

GCF(53825,53844) = 1

We will now calculate the prime factors of 53825 and 53844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53825 and 53844.

How to find the GCF of 53825 and 53844?

We will first find the prime factorization of 53825 and 53844. After we will calculate the factors of 53825 and 53844 and find the biggest common factor number .

Step-1: Prime Factorization of 53825

Prime factors of 53825 are 5, 2153. Prime factorization of 53825 in exponential form is:

53825 = 5² × 2153¹

Step-2: Prime Factorization of 53844

Prime factors of 53844 are 2, 3, 7, 641. Prime factorization of 53844 in exponential form is:

53844 = 2² × 3¹ × 7¹ × 641¹

Step-3: Factors of 53825

List of positive integer factors of 53825 that divides 53825 without a remainder.

1, 5, 25, 2153, 10765

Step-4: Factors of 53844

List of positive integer factors of 53844 that divides 53825 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 641, 1282, 1923, 2564, 3846, 4487, 7692, 8974, 13461, 17948, 26922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53825 and 53844. The biggest common factor number is the GCF number.
So the greatest common factor 53825 and 53844 is 1.

Also check out the Least Common Multiple of 53825 and 53844