What is the Greatest Common Factor of 73986 and 74006?

Greatest common factor (GCF) of 73986 and 74006 is 2.

GCF(73986,74006) = 2

We will now calculate the prime factors of 73986 and 74006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73986 and 74006.

How to find the GCF of 73986 and 74006?

We will first find the prime factorization of 73986 and 74006. After we will calculate the factors of 73986 and 74006 and find the biggest common factor number .

Step-1: Prime Factorization of 73986

Prime factors of 73986 are 2, 3, 11, 19, 59. Prime factorization of 73986 in exponential form is:

73986 = 2¹ × 3¹ × 11¹ × 19¹ × 59¹

Step-2: Prime Factorization of 74006

Prime factors of 74006 are 2, 37003. Prime factorization of 74006 in exponential form is:

74006 = 2¹ × 37003¹

Step-3: Factors of 73986

List of positive integer factors of 73986 that divides 73986 without a remainder.

1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 59, 66, 114, 118, 177, 209, 354, 418, 627, 649, 1121, 1254, 1298, 1947, 2242, 3363, 3894, 6726, 12331, 24662, 36993

Step-4: Factors of 74006

List of positive integer factors of 74006 that divides 73986 without a remainder.

1, 2, 37003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73986 and 74006. The biggest common factor number is the GCF number.
So the greatest common factor 73986 and 74006 is 2.

Also check out the Least Common Multiple of 73986 and 74006