What is the Greatest Common Factor of 19775 and 19792?

Greatest common factor (GCF) of 19775 and 19792 is 1.

GCF(19775,19792) = 1

We will now calculate the prime factors of 19775 and 19792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19775 and 19792.

How to find the GCF of 19775 and 19792?

We will first find the prime factorization of 19775 and 19792. After we will calculate the factors of 19775 and 19792 and find the biggest common factor number .

Step-1: Prime Factorization of 19775

Prime factors of 19775 are 5, 7, 113. Prime factorization of 19775 in exponential form is:

19775 = 5² × 7¹ × 113¹

Step-2: Prime Factorization of 19792

Prime factors of 19792 are 2, 1237. Prime factorization of 19792 in exponential form is:

19792 = 2⁴ × 1237¹

Step-3: Factors of 19775

List of positive integer factors of 19775 that divides 19775 without a remainder.

1, 5, 7, 25, 35, 113, 175, 565, 791, 2825, 3955

Step-4: Factors of 19792

List of positive integer factors of 19792 that divides 19775 without a remainder.

1, 2, 4, 8, 16, 1237, 2474, 4948, 9896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19775 and 19792. The biggest common factor number is the GCF number.
So the greatest common factor 19775 and 19792 is 1.

Also check out the Least Common Multiple of 19775 and 19792