What is the Greatest Common Factor of 74893 and 74901?

Greatest common factor (GCF) of 74893 and 74901 is 1.

GCF(74893,74901) = 1

We will now calculate the prime factors of 74893 and 74901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74893 and 74901.

How to find the GCF of 74893 and 74901?

We will first find the prime factorization of 74893 and 74901. After we will calculate the factors of 74893 and 74901 and find the biggest common factor number .

Step-1: Prime Factorization of 74893

Prime factors of 74893 are 7, 13, 823. Prime factorization of 74893 in exponential form is:

74893 = 7¹ × 13¹ × 823¹

Step-2: Prime Factorization of 74901

Prime factors of 74901 are 3, 24967. Prime factorization of 74901 in exponential form is:

74901 = 3¹ × 24967¹

Step-3: Factors of 74893

List of positive integer factors of 74893 that divides 74893 without a remainder.

1, 7, 13, 91, 823, 5761, 10699

Step-4: Factors of 74901

List of positive integer factors of 74901 that divides 74893 without a remainder.

1, 3, 24967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74893 and 74901. The biggest common factor number is the GCF number.
So the greatest common factor 74893 and 74901 is 1.

Also check out the Least Common Multiple of 74893 and 74901