What is the Greatest Common Factor of 73864 and 73884?

Greatest common factor (GCF) of 73864 and 73884 is 4.

GCF(73864,73884) = 4

We will now calculate the prime factors of 73864 and 73884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73864 and 73884.

How to find the GCF of 73864 and 73884?

We will first find the prime factorization of 73864 and 73884. After we will calculate the factors of 73864 and 73884 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73884

Prime factors of 73884 are 2, 3, 47, 131. Prime factorization of 73884 in exponential form is:

73884 = 2² × 3¹ × 47¹ × 131¹

Step-3: Factors of 73864

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

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

Step-4: Factors of 73884

List of positive integer factors of 73884 that divides 73864 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 131, 141, 188, 262, 282, 393, 524, 564, 786, 1572, 6157, 12314, 18471, 24628, 36942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73864 and 73884. The biggest common factor number is the GCF number.
So the greatest common factor 73864 and 73884 is 4.

Also check out the Least Common Multiple of 73864 and 73884