What is the Greatest Common Factor of 73956 and 73974?

Greatest common factor (GCF) of 73956 and 73974 is 6.

GCF(73956,73974) = 6

We will now calculate the prime factors of 73956 and 73974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73956 and 73974.

How to find the GCF of 73956 and 73974?

We will first find the prime factorization of 73956 and 73974. After we will calculate the factors of 73956 and 73974 and find the biggest common factor number .

Step-1: Prime Factorization of 73956

Prime factors of 73956 are 2, 3, 6163. Prime factorization of 73956 in exponential form is:

73956 = 2² × 3¹ × 6163¹

Step-2: Prime Factorization of 73974

Prime factors of 73974 are 2, 3, 12329. Prime factorization of 73974 in exponential form is:

73974 = 2¹ × 3¹ × 12329¹

Step-3: Factors of 73956

List of positive integer factors of 73956 that divides 73956 without a remainder.

1, 2, 3, 4, 6, 12, 6163, 12326, 18489, 24652, 36978

Step-4: Factors of 73974

List of positive integer factors of 73974 that divides 73956 without a remainder.

1, 2, 3, 6, 12329, 24658, 36987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73956 and 73974. The biggest common factor number is the GCF number.
So the greatest common factor 73956 and 73974 is 6.

Also check out the Least Common Multiple of 73956 and 73974