What is the Greatest Common Factor of 73954 and 73968?

Greatest common factor (GCF) of 73954 and 73968 is 2.

GCF(73954,73968) = 2

We will now calculate the prime factors of 73954 and 73968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73954 and 73968.

How to find the GCF of 73954 and 73968?

We will first find the prime factorization of 73954 and 73968. After we will calculate the factors of 73954 and 73968 and find the biggest common factor number .

Step-1: Prime Factorization of 73954

Prime factors of 73954 are 2, 103, 359. Prime factorization of 73954 in exponential form is:

73954 = 2¹ × 103¹ × 359¹

Step-2: Prime Factorization of 73968

Prime factors of 73968 are 2, 3, 23, 67. Prime factorization of 73968 in exponential form is:

73968 = 2⁴ × 3¹ × 23¹ × 67¹

Step-3: Factors of 73954

List of positive integer factors of 73954 that divides 73954 without a remainder.

1, 2, 103, 206, 359, 718, 36977

Step-4: Factors of 73968

List of positive integer factors of 73968 that divides 73954 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 67, 69, 92, 134, 138, 184, 201, 268, 276, 368, 402, 536, 552, 804, 1072, 1104, 1541, 1608, 3082, 3216, 4623, 6164, 9246, 12328, 18492, 24656, 36984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73954 and 73968. The biggest common factor number is the GCF number.
So the greatest common factor 73954 and 73968 is 2.

Also check out the Least Common Multiple of 73954 and 73968