What is the Greatest Common Factor of 73857 and 73864?

Greatest common factor (GCF) of 73857 and 73864 is 7.

GCF(73857,73864) = 7

We will now calculate the prime factors of 73857 and 73864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73857 and 73864.

How to find the GCF of 73857 and 73864?

We will first find the prime factorization of 73857 and 73864. After we will calculate the factors of 73857 and 73864 and find the biggest common factor number .

Step-1: Prime Factorization of 73857

Prime factors of 73857 are 3, 7, 3517. Prime factorization of 73857 in exponential form is:

73857 = 3¹ × 7¹ × 3517¹

Step-2: Prime Factorization of 73864

Prime factors of 73864 are 2, 7, 1319. Prime factorization of 73864 in exponential form is:

73864 = 2³ × 7¹ × 1319¹

Step-3: Factors of 73857

List of positive integer factors of 73857 that divides 73857 without a remainder.

1, 3, 7, 21, 3517, 10551, 24619

Step-4: Factors of 73864

List of positive integer factors of 73864 that divides 73857 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1319, 2638, 5276, 9233, 10552, 18466, 36932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73857 and 73864. The biggest common factor number is the GCF number.
So the greatest common factor 73857 and 73864 is 7.

Also check out the Least Common Multiple of 73857 and 73864