What is the Greatest Common Factor of 75713 and 75724?

Greatest common factor (GCF) of 75713 and 75724 is 11.

GCF(75713,75724) = 11

We will now calculate the prime factors of 75713 and 75724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75713 and 75724.

How to find the GCF of 75713 and 75724?

We will first find the prime factorization of 75713 and 75724. After we will calculate the factors of 75713 and 75724 and find the biggest common factor number .

Step-1: Prime Factorization of 75713

Prime factors of 75713 are 11, 6883. Prime factorization of 75713 in exponential form is:

75713 = 11¹ × 6883¹

Step-2: Prime Factorization of 75724

Prime factors of 75724 are 2, 11, 1721. Prime factorization of 75724 in exponential form is:

75724 = 2² × 11¹ × 1721¹

Step-3: Factors of 75713

List of positive integer factors of 75713 that divides 75713 without a remainder.

1, 11, 6883

Step-4: Factors of 75724

List of positive integer factors of 75724 that divides 75713 without a remainder.

1, 2, 4, 11, 22, 44, 1721, 3442, 6884, 18931, 37862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75713 and 75724. The biggest common factor number is the GCF number.
So the greatest common factor 75713 and 75724 is 11.

Also check out the Least Common Multiple of 75713 and 75724