What is the Greatest Common Factor of 73964 and 73982?

Greatest common factor (GCF) of 73964 and 73982 is 2.

GCF(73964,73982) = 2

We will now calculate the prime factors of 73964 and 73982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73964 and 73982.

How to find the GCF of 73964 and 73982?

We will first find the prime factorization of 73964 and 73982. After we will calculate the factors of 73964 and 73982 and find the biggest common factor number .

Step-1: Prime Factorization of 73964

Prime factors of 73964 are 2, 11, 41. Prime factorization of 73964 in exponential form is:

73964 = 2² × 11¹ × 41²

Step-2: Prime Factorization of 73982

Prime factors of 73982 are 2, 71, 521. Prime factorization of 73982 in exponential form is:

73982 = 2¹ × 71¹ × 521¹

Step-3: Factors of 73964

List of positive integer factors of 73964 that divides 73964 without a remainder.

1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1681, 1804, 3362, 6724, 18491, 36982

Step-4: Factors of 73982

List of positive integer factors of 73982 that divides 73964 without a remainder.

1, 2, 71, 142, 521, 1042, 36991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73964 and 73982. The biggest common factor number is the GCF number.
So the greatest common factor 73964 and 73982 is 2.

Also check out the Least Common Multiple of 73964 and 73982