What is the Greatest Common Factor of 73974 and 73983?

Greatest common factor (GCF) of 73974 and 73983 is 3.

GCF(73974,73983) = 3

We will now calculate the prime factors of 73974 and 73983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73974 and 73983.

How to find the GCF of 73974 and 73983?

We will first find the prime factorization of 73974 and 73983. After we will calculate the factors of 73974 and 73983 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73983

Prime factors of 73983 are 3, 7, 13, 271. Prime factorization of 73983 in exponential form is:

73983 = 3¹ × 7¹ × 13¹ × 271¹

Step-3: Factors of 73974

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

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

Step-4: Factors of 73983

List of positive integer factors of 73983 that divides 73974 without a remainder.

1, 3, 7, 13, 21, 39, 91, 271, 273, 813, 1897, 3523, 5691, 10569, 24661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73974 and 73983. The biggest common factor number is the GCF number.
So the greatest common factor 73974 and 73983 is 3.

Also check out the Least Common Multiple of 73974 and 73983