What is the Greatest Common Factor of 73966 and 73976?

Greatest common factor (GCF) of 73966 and 73976 is 2.

GCF(73966,73976) = 2

We will now calculate the prime factors of 73966 and 73976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73966 and 73976.

How to find the GCF of 73966 and 73976?

We will first find the prime factorization of 73966 and 73976. After we will calculate the factors of 73966 and 73976 and find the biggest common factor number .

Step-1: Prime Factorization of 73966

Prime factors of 73966 are 2, 31, 1193. Prime factorization of 73966 in exponential form is:

73966 = 2¹ × 31¹ × 1193¹

Step-2: Prime Factorization of 73976

Prime factors of 73976 are 2, 7, 1321. Prime factorization of 73976 in exponential form is:

73976 = 2³ × 7¹ × 1321¹

Step-3: Factors of 73966

List of positive integer factors of 73966 that divides 73966 without a remainder.

1, 2, 31, 62, 1193, 2386, 36983

Step-4: Factors of 73976

List of positive integer factors of 73976 that divides 73966 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1321, 2642, 5284, 9247, 10568, 18494, 36988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73966 and 73976. The biggest common factor number is the GCF number.
So the greatest common factor 73966 and 73976 is 2.

Also check out the Least Common Multiple of 73966 and 73976