What is the Greatest Common Factor of 59792 and 59803?

Greatest common factor (GCF) of 59792 and 59803 is 1.

GCF(59792,59803) = 1

We will now calculate the prime factors of 59792 and 59803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59792 and 59803.

How to find the GCF of 59792 and 59803?

We will first find the prime factorization of 59792 and 59803. After we will calculate the factors of 59792 and 59803 and find the biggest common factor number .

Step-1: Prime Factorization of 59792

Prime factors of 59792 are 2, 37, 101. Prime factorization of 59792 in exponential form is:

59792 = 2⁴ × 37¹ × 101¹

Step-2: Prime Factorization of 59803

Prime factors of 59803 are 79, 757. Prime factorization of 59803 in exponential form is:

59803 = 79¹ × 757¹

Step-3: Factors of 59792

List of positive integer factors of 59792 that divides 59792 without a remainder.

1, 2, 4, 8, 16, 37, 74, 101, 148, 202, 296, 404, 592, 808, 1616, 3737, 7474, 14948, 29896

Step-4: Factors of 59803

List of positive integer factors of 59803 that divides 59792 without a remainder.

1, 79, 757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59792 and 59803. The biggest common factor number is the GCF number.
So the greatest common factor 59792 and 59803 is 1.

Also check out the Least Common Multiple of 59792 and 59803