What is the Greatest Common Factor of 73970 and 73983?

Greatest common factor (GCF) of 73970 and 73983 is 13.

GCF(73970,73983) = 13

We will now calculate the prime factors of 73970 and 73983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73970 and 73983.

How to find the GCF of 73970 and 73983?

We will first find the prime factorization of 73970 and 73983. After we will calculate the factors of 73970 and 73983 and find the biggest common factor number .

Step-1: Prime Factorization of 73970

Prime factors of 73970 are 2, 5, 13, 569. Prime factorization of 73970 in exponential form is:

73970 = 2¹ × 5¹ × 13¹ × 569¹

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 73970

List of positive integer factors of 73970 that divides 73970 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 569, 1138, 2845, 5690, 7397, 14794, 36985

Step-4: Factors of 73983

List of positive integer factors of 73983 that divides 73970 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 73970 and 73983. The biggest common factor number is the GCF number.
So the greatest common factor 73970 and 73983 is 13.

Also check out the Least Common Multiple of 73970 and 73983