What is the Greatest Common Factor of 73972 and 73976?

Greatest common factor (GCF) of 73972 and 73976 is 4.

GCF(73972,73976) = 4

We will now calculate the prime factors of 73972 and 73976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73972 and 73976.

How to find the GCF of 73972 and 73976?

We will first find the prime factorization of 73972 and 73976. After we will calculate the factors of 73972 and 73976 and find the biggest common factor number .

Step-1: Prime Factorization of 73972

Prime factors of 73972 are 2, 18493. Prime factorization of 73972 in exponential form is:

73972 = 2² × 18493¹

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 73972

List of positive integer factors of 73972 that divides 73972 without a remainder.

1, 2, 4, 18493, 36986

Step-4: Factors of 73976

List of positive integer factors of 73976 that divides 73972 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 73972 and 73976. The biggest common factor number is the GCF number.
So the greatest common factor 73972 and 73976 is 4.

Also check out the Least Common Multiple of 73972 and 73976