What is the Greatest Common Factor of 74787 and 74807?

Greatest common factor (GCF) of 74787 and 74807 is 1.

GCF(74787,74807) = 1

We will now calculate the prime factors of 74787 and 74807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74787 and 74807.

How to find the GCF of 74787 and 74807?

We will first find the prime factorization of 74787 and 74807. After we will calculate the factors of 74787 and 74807 and find the biggest common factor number .

Step-1: Prime Factorization of 74787

Prime factors of 74787 are 3, 97, 257. Prime factorization of 74787 in exponential form is:

74787 = 3¹ × 97¹ × 257¹

Step-2: Prime Factorization of 74807

Prime factors of 74807 are 239, 313. Prime factorization of 74807 in exponential form is:

74807 = 239¹ × 313¹

Step-3: Factors of 74787

List of positive integer factors of 74787 that divides 74787 without a remainder.

1, 3, 97, 257, 291, 771, 24929

Step-4: Factors of 74807

List of positive integer factors of 74807 that divides 74787 without a remainder.

1, 239, 313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74787 and 74807. The biggest common factor number is the GCF number.
So the greatest common factor 74787 and 74807 is 1.

Also check out the Least Common Multiple of 74787 and 74807