What is the Greatest Common Factor of 74679 and 74687?

Greatest common factor (GCF) of 74679 and 74687 is 1.

GCF(74679,74687) = 1

We will now calculate the prime factors of 74679 and 74687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74679 and 74687.

How to find the GCF of 74679 and 74687?

We will first find the prime factorization of 74679 and 74687. After we will calculate the factors of 74679 and 74687 and find the biggest common factor number .

Step-1: Prime Factorization of 74679

Prime factors of 74679 are 3, 11, 31, 73. Prime factorization of 74679 in exponential form is:

74679 = 3¹ × 11¹ × 31¹ × 73¹

Step-2: Prime Factorization of 74687

Prime factors of 74687 are 74687. Prime factorization of 74687 in exponential form is:

74687 = 74687¹

Step-3: Factors of 74679

List of positive integer factors of 74679 that divides 74679 without a remainder.

1, 3, 11, 31, 33, 73, 93, 219, 341, 803, 1023, 2263, 2409, 6789, 24893

Step-4: Factors of 74687

List of positive integer factors of 74687 that divides 74679 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74679 and 74687. The biggest common factor number is the GCF number.
So the greatest common factor 74679 and 74687 is 1.

Also check out the Least Common Multiple of 74679 and 74687